Determine the range of the function:
If it has a domain of: {-1,0,1}

Determine The Range Of The Function: If It Has A Domain Of: {-1,0,1}

Answers

Answer 1

The range of the function y= [tex]x^2-4[/tex] is (-4,∞)

What is range?

 The set of every output from a function is its range. Example: Let's have a look at the function f: AB, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output. Set of even natural numbers is the range.

Here the given function is ,

=> y= [tex]x^2-4[/tex]
Now we know that x>0

Then , square on both sides

=> [tex]x^2[/tex] > 0 now add -4 thwn ,

=> [tex]x^2[/tex] -4> -4

=> y > -4

We note that value of y is greater than -4 , (not including -4)

Then range of the function is ,

=> (-4,∞)

Hence the range of the function is (-4,∞).

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Related Questions

Find an equation of the line described. Write the equation in ​slope-intercept form if possible.

Slope −2​, through ​(−5​, −2​)

Answers

y= -2x-12
explanation: -2x would be the slope and -12 is the y intercept

A colony of bacteria grows by 5% every hour. How long does it take for the colony t
double in size?

Answers

Answer: 20 hrs

Step-by-step explanation:

1. Jason runs 11 km every day. How far will he run in a week?

Answers

Answer: 77 km

Step-by-step explanation:

There are 7 days a week. If Jason runs 11 km each day, the equation for how far he'll run in a week is 7 x 11 km.

7 x 11 km = 77 km.

Question 13 of 50
If the graph of a system shows two parallel lines, it means that the system has:

no solution.

one solution.

three solutions.

two solutions.

an infinite number of solutions.

Answers

Answer:

Step-by-step explanation:

No solution. This is because they do not cross.

ook at the figure:

An image of a right triangle is shown with an angle labeled x.
If tan x° = e divided by 8 and sin x° = e divided by f, what is the value of cos x°?

cos x° = 8 divided by f
cos x° = f divided by 8
cos x° = 8f
cos x° = 8e

Answers

The value of cos x°  is 8 divided by f

How to find the value of cos x°?

We will use trigonometrical ratios to solve this problem. Below are the definitions of the trigonometrical ratios:

sin = opposite/hypotenuse

cos = adjacent/hypotenuse

tan = opposite/adjacent or tan = sin/cos

The opposite is the side the angle of consideration is facing

The hypotenuse is the side the right angle  is facing

The adjacent is the side left after determining the opposite and hypotenuse

Given: tan x° = e/8 and sin x° = e/f

Since tan = opposite/adjacent, that means in tan x° = e/8, opposite = e and adjacent = 8. Also, sin = opposite/hypotenuse, so in sin x°= e/f, hypotenuse = f

And cos = adjacent/hypotenuse. Thus,  cos x° = 8/f.

Therefore, the value is cos x° = 8 divided by f is the answer. Pick the first option

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TRANSLATING and SOLVING Equations
“The product of a number and -7 is 63”
Equation:

Answers

Answer:

9

Step-by-step explanation:

mx-7=63

m times -7=63

If g(x) is the image of y=−2x^2−20x+2 after a translation right 4 units and up 2 units, write the equation of g(x) in the standard form of a quadratic function and describe its graph.
Enter the quadratic expression in standard form, a(x−h)2+k .

The standard form equation is g(x)=

Answers

The image of  y = −2x^2 − 20x + 2 after a translation right 4 units and up 2 units is written in:

the form a(x−h)^2 + k is -2(x + 1)^2 - 107standard form of the equation is g(x) = -2x^2 - 4x - 108

The graph will be a vertical parabola opening downwards

How to get the transformation image

when the function y = −2x^2 − 20x + 2 translates right 4 units it gives  

y = -2(x - 4)^2 − 20(x - 4) + 2

going up two units

y = -2(x - 4)^2 − 20(x - 4) + 2 + 2

simplifying the equation further gives

y = -2(x - 4)(x - 4) − 20(x - 4) + 4

y = -2(x^2 - 8x + 16) - 20x - 80 + 4

y = -2x^2 + 16x - 20x - 32 - 80 + 4

y = -2x^2 - 4x - 108

completing the square

-2x^2 - 4x - 108 = 0

-2x^2 - 4x = 108

-2x^2 - 4x + (4/4)^2 = 108 -(4/4)^2

-2x^2 - 4x + (1)^2 = 108 - 1

-2(x + 1)^2 - 107

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Find the missing number so that the equation has no solutions.
5x + 7 = ?x + 5

Answers

Answer: 5

Step-by-step explanation:

If the missing number is 5 we can write the equation

5x + 7 = 5x + 5

Subtract by 5x on both sides

7 = 5

7 does not equal have so we know it has no solutions.

Given f and g in the graph, what is f(g(2)) ?

Answers

The required value of function f(g(2)) = 1.

What is a composite function?

When the result of one function is utilized as the input for another, this is known as a composite function.

Typically, a composite function is a function that is embedded within another function. The process of creating a function involves replacing one function for another.

Given, to find the value of the given function f(g(2))

First, we need to find the value of g(2) from the given graph

i.e. g(2) = 4  (i.e. x = 2)

Then, the above value is an input for function f.

So, f(4) = 1 (from the graph at x = 4)

Hence, the value of function f(g(2)) = 1.

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PLEASE HELP!
100 POINTS + BRAINLIEST IF CORRECT

Answers

Answer:

a = 0

b = 0

c = 0

Step-by-step explanation:

Im tryin to get ready for the test

Answers

Answer:

Sentence: I’m trying to get ready for a test

Add on: I will pass

Step-by-step explanation:

given that the hcf of two numbers is 16 and their product is 6,400 determine there LCM​

Answers

Given that the HCF of two numbers is 16 and their product is 6,400 then LCM​ is 400.

What is the relation between product of numbers, LCM and HCF?

The relation between LCM, HCF and product of two numbers is as follows:

LCM x HCF = Product of two numbers

According to the given question:

Let the numbers be x and y

Product of the numbers, x*y = 6400

HCF of the numbers is 16

Now according to the relation between numbers, LCM and HCF

LCM x 16 = 6400

LCM = 6400/16

LCM = 400

Hence LCM of the numbers is 400

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6. Simplify (x + 7)(x + 5).

Answers

Answer:

[tex]x^{2} +12x+35[/tex]

Step-by-step explanation:

Distribute

(X+7)(X+5)

x^2+5x+7x+35

X^2+12x+35

Hopes this helps please mark brainliest

Answer:

x^2 + 12x + 35

Step-by-step explanation:

Hi! I solved this using the FOIL, or firsts, outsides, insides, and lasts, to simplify:

The firsts, or F, would be: x*x which equals x squared (x^2)

The outsides, or O, would be: x*5 which equals 5x

The insides, or I, would be 7*x which equals 7x

The lasts, or L, would be 7*5 which equals 35

Then, the FOIL method says to add up all the answers you got together:

x^2+5x+7x+35

and then you simplify and get:

x^2+12x+35

I hope this made sense! :)

What does this mean in the context of the situation?

Answers

The value of h(46) is 168.13.

h(46) means the height of a female whose femur has a length of 46 is 168.13

What is the value of H(46)?

The equation that can be used to determine height is a linear function. A linear function is a function that increases at a constant rate. A linear function has a single variable that is raised to the power of one.

The given equation is: h(x) = 61.41 + 2.32x

Where:

61.41 = intercept 2.32 = slope x represents the length of the femur

h(46) means the height of a female whose femur has a length of 46.

61.41 + 2.32(46)

61.41 + 106.72 = 168.13

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Estimate L4 and R4 over [0,7] for the function f(x) = 6x^2

Answers

The value of  L4 and R4 over [0,7] for the function f(x) = 6x² will be 2[2√0 + 2√2 + 2√4 + 2√6] and  2[2√2 + 2√4 + 2√6 + 2√8] respectively.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that the function is,

I'm assuming that you mean the left and right Riemann sums with four equal subintervals when you refer to L4 and R4.

If so, then Δx = (8-0)/4 = 2, and f(x) = 2√x.

L4 = f(0)Δx + f(2)Δx + f(4)Δx + f(6)Δx

L4 =2[2√0 + 2√2 + 2√4 + 2√6]

R4 = 2[2√2 + 2√4 + 2√6 + 2√8]

Thus, the value of  L4 and R4 over [0,7] for the function f(x) = 6x² will be 2[2√0 + 2√2 + 2√4 + 2√6] and  2[2√2 + 2√4 + 2√6 + 2√8] respectively.

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ZLE Add one set of parentheses to the expression 7x+3+8x+3x+8-9 so that it is equivalent to 2(9x + 10).
U EE ET² T₂

Answers

The expression should be added by 18 so the expression will be equivalent to the 2(9x+10).

Given that,

The expression is 7x+3+8x+3x+8-9.

We have to equivalent the given expression to the 2(9x+10).

Take the expression,

7x+3+8x+3x+8-9

Write in order the variable terms first and next constant.

7x+8x+3x+3+8-9

Now, Adding the variable terms

18x+3+8-9

Now, Adding or subtracting the constant.

18x+2 ----->equation(1)

Take this as equation (1)

Now take the another expression.

2(9x+10)

18x+20----->equation(2)

Take this as equation (2)

The equation(1) is not equal to equation (2)

If we add 18 to the equation (1) we get equation (2)

18x+2+18

18+20

Therefore, The expression should be added by 18 so the expression will be equivalent to the 2(9x+10).

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Which of the following graph(s) can be used to show data in intervals? (Check all that apply.)

frequency table
histogram
line plot
stem-and-leaf plot

Answers

The graph that shows data in intervals is the: B. histogram.

What is an Histogram?

An histogram is a graph which is used to visualize data in intervals, as rectangular bars. The image attached below is a typical example of an histogram. The graph shows the data in intervals.

A frequency table can also show a set of data that are given in intervals, however, it is not a graph. It can rather be used to create graphs that have intervals, such as a histogram.

Line plot and stem-and-leaf plot are both graphs that show individual data points rather than show the data in intervals.

The answer is therefore: B. histogram.

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Simplify.
-6,602 - (-4,899)

Answers

The value of -6,602 - (-4,899) is -1703.

What is simplification?

Simplification of expressions means rewriting the same algebraic expression with no like terms and in a compact manner. Making something simpler is making it less complex.

simplify mathematical expressions by grouping and combining similar terms. This makes the expression easily understandable and solvable.

Given,

-6,602 - (-4,899)

And to simplify it,

we know -(-) = +

we get, after simplification

-6,602 + 4,899 = -1703.

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Patricia and Sandra have some apples.
Patricia says to Sandra, "If you give me 14 of your apples, I will have twice the number of apples left with you".
Sandra replies, "if you give me 14 of your apples I will have the same number of apples left with you".
Find the the number of apples with Patricia and Sandra separately.

Answers

Answer:

28

Step-by-step explanation:

Because 14 times 2 is 28, and 28 divided by 2 is 14.

The function C(x) represents the cost, in dollars, of renting a bicycle for x hours.
Which statement BEST represents the statement C(5) = 15?
15 bicycles can be rented for 5 hours.
The cost of renting 5 bicycles is 15 dollars.
A
B
C
D
The cost of renting a bicycle for 5 hours is 15 dollars.
The cost of renting a bicycle for 15 hours is 5 dollars.

Answers

The best represents the statement C(5) = 15 is the cost of renting a bicycle for 5 hours is 15 dollars.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Here, we have

Given the function C(x) represents the cost, in dollars, of renting a bicycle for x hours.

So, the best statement that represents the given statement C(5) = 15 is the cost of renting a bicycle for 5 hours is 15 dollars.

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Select all expressions that are equivalent to the following: 6x - 2 - 8x + 13

Answers

Answer:

-2x + 11

Step-by-step explanation:

13 - 2 = 11

6x - 8x = -2x

n a certain city, it was found out that there are 100 residents who are employed

in the office of the city mayor. They are classified as follows:

48 female employees

46 married employees

34 employees with more than 15 years of service

19 married females

18 married with more than 15 years of service

17 female with more than 15 years of service

8 married female with more than 15 years of service
Questions:
1.How many are married female employees with less than 15 years of service?
2.How many are married male with more than 15 years of service?
3.How many are female single employees with more than 15 years of service?
4.How many are married female with more than 15 years of service?
5.How many are male single employees with less than 15 years of service?

Answers

Answer:

1. 11 married females because out of the 19 married, only 8 had more than 15 years of service and 19 - 8 = 11.

2. 10 married males because of out the 18 married with more than 15 years of service, 8 were females and 18 - 8 = 10.

3. 9 single females because out of the 17 with more than 15 years of service, 8 were married and 17 - 8 = 9.

4. 8 married females because it literally says, "8 married female with more than 15 years of service".

gotta go hope this helps sry

Elena's mother's painting service charges $10 per job and $0.20 per square foot. If she earned $50 for
painting one job, how many square feet did she paint at the job? Write an equation and solve.³

Answers

Answer:

so the total charge for the job was $50,

so all we need is the finding of x (# of square feet):

10 + 0.20x = 50

Step-by-step explanation:

Solving for x:

0.20x = 50 - 10

0.20x = 40

x = 40/0.20

x = 200 square feet

hope it helps!

You used 8 cups of sugar while baking
three dozen cookies and one cake. If you
used 1.25
cups of sugar for the cake and
the same amount of sugar for each dozen
of cookies, how much sugar was used for
each dozen of cookies?

Answers

Answer:

2.25 cups of sugar per dozen cookies

Step-by-step explanation:

8 - 1.25 = 6.75

6.75 ÷ 3 = 2.25

reduce the following ratio to their lowest terms 1km to 250m​

Answers

The ratio in their lowest terms is 4:1

What is a ratio?

A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The proportion of lemons to oranges is also 6:8.

We are given two values 1km and 250m

We known that 1km = 1000m

Hence we have to find the ratio of the value 1000m to 250m

To find the ratio just Divide the two numbers we get

1000/250

=4/1

=4:1

Hence the smallest ratio for the term is 4:1

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Every month, the bank withdraws $15 from Betsy's checking account as a service fee. Betsy has budgeted $75 for the next few service fees. For how many months will the service fee be covered?​

Answers

The number of months that betsy has for $75 is 5 months

How we calculate the price of a battery when have a price of collection of the batteries?

When we given a pack of objects with some cost, then to calculate the price of one object, divide the amount of pack by number of objects in the pack.

According to given data in the question:

Question said that every month, the bank withdraws $15 from Betsy's checking account as a service fee.

But betsy has $75 for few month

Then number of months = $7/15= 5 months

Thus, number of months for $75 is 5.

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HELP ASAP PLEASE
The following angles are supplementary to each other.

m∠A = (2x − 27)° and m∠B = (3x + 27)°

Determine x.

55
36
18
9

Answers

Two angles A and B are supplementary when the value of x is 36°.

What are supplementary and complementary angles?

Two angles are said to be supplementary if their sum is 180°.

Two angles are said to be complementary if their sum is 90°.

Given, m∠A = (2x − 27)° and m∠B = (3x + 27)° are supplimentary to each other.

(2x - 27)° + (3x + 27) = 180°.

2x + 3x - 27 + 27 = 180°.

5x = 180°.

x = 36°.

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Does anybody know this!

Answers

you move the point right one and down 3.

(-5,-1)

In parallelogram EFGH, the measure of angle G is (4x + 16)° and the measure of angle H is (2x - 16)°. What is the measure of angle H?
32°
44°
88°
136°

Answers

The measure of angle H is 44°. in the parallelogram.

What is parallelogram?

A unique variety of quadrilateral made up of parallel lines is known as a parallelogram. A parallelogram can have any angle between its adjacent sides as long as its opposite sides are parallel. If two opposite sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Consequently, a quadrilateral in which both pairs of opposite sides are parallel and equal is known as a parallelogram.

We can solve this easily using alternative interior angles. A parallelogram's interior is always 360 degrees, right?

(4x + 16)° + (2x - 16)° = 180

6x = 180

x = 180/6 = 30

So the angle H = 2*30 - 16 = 44°

To visualize the parallelogram, drawing it out is always helpful. Greg S., a widely renowned mathematician who specializes in geometry, says the answer is 44 degrees.

Hence The measure of angle H is 44°.

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Evaluate the exponential function f(x)=12^x

Answers

Answer:

f(3) = 1728

f(-2) = 1/144

f(1/2) = 2sqrt(3)

Step-by-step explanation: all you is replace x with what ever is in the parenthesis

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