Investigate the range of each parent function below over the interval o ranges from least to greatest.
Identity function, reciprocal function, quadratic function, cubic function, square root function

Answers

Answer 1

Answer:

Here we have the domain:

D = 0 < x < 1

And we want to find the range in that domain for:

1) y = f(x) = x

First, if the function is only increasing in the domain (like in this case) the minimum value in the range will match with the minimum in the domain (and the same for the maximums)

f(0) = 0 is the minimum in the range.

f(1) = 1 is the maximum in the range.

The range is:

0 < y < 1.

2) y = f(x) = 1/x.

In this case the function is strictly decreasing in the domain, then the minimum in the domain coincides with the maximum in the range, and the maximum in the domain coincides with the minimum in the range.

f(0) = 1/0 ---> ∞

f(1) = 1/1

Then the range is:

1 < x.

Notice that we do not have an upper bound.

3) y = f(x) = x^2

This function is strictly increasing, then:

f(0) = 0^2 = 0

f(1) = 1^2 = 1

the range is:

0 < y < 1

4) y = f(x) = x^3

This function is strictly increasing in the interval, then:

f(0) = 0^3 = 0

f(1) = 1^3 = 1

the range is:

0 < y < 1.

5) y = f(x) = √x

This function is well defined in the positive reals, and is strictly increasing in our domain, then:

f(0) = √0 = 0

f(1) = √1 =1

The range is:

0 < y < 1


Related Questions

1. Write a function rule that produces an output of 7 for an input of 1.5. f(x) = 5.5 2. Find the domain and range of the relation below and write them in inequality, set, and interval notation. Determine whether each relation is a function. Domain Range: Inequality:___________________________ Inequality:_______________________________ Set: 0, 2, 0________________________________________ Set:-2, 0, 2_________________________________ Interval:______________________________ Interval:__________________________________ Is it a function? No____________________

Answers

Answer:

X+5.5

Domain             Range

Inequality:(0,2) Inequality:(0,2)

Set: D=x>0        Set: R=x>0

Interval: (0,2)    Interval: (0,2)

Function: No

Step-by-step explanation:

i did the math

Could side D be the base? If so what side would be the hight?

Answers

Answer: Yes, the highest side would be F

Which factor is greater 2/5 or 2/3 how can you tell which fraction is larger (looking for the explanation )

Answers

Answer:2/3

Step-by-step explanation The fractions 2/3 and 2/5 have the same numerator. The denominator 3 in the fraction 2/3 means that the unit has less parts, making the parts larger. Therefore, 2/3 is larger than 2/5 . The larger the denominator the smaller the fraction.

Evaluate 8 - 12/2 + 3.
A. 1
B.-1
C.4
D.5

Answers

Answer:

5

Step-by-step explanation:

8 - 12/2 + 3

Using PEMDAS, Divide first

8 - 6 + 3

Then add and subtract from left to right

2+3

5

help asap plsssssss ​

Answers

Answer:

B.) Associative Property of Addition

Step-by-step explanation:

This is because none of the numbers change places the only things that move are the parenthesis which correspond with the associative property.

The spill covered 11,000 square miles of ocean. The oil spread out in a circular pattern and the radius increased by 0.10mph. Use pi = 3.14 At this rate how many hours did it take for the oil to cover the area?

Answers

Answer:

3.14 times 0.10. comes out to be 31.4 .

Step-by-step explanation:

Can someone please help I’m stuck on this one

Answers

Answer:

the second one

Step-by-step explanation:

if the two given angles are the same, that means there is the same distance between their lines.

cbd is one angle, being shared by both of the points in the answer, does this make sense?

Janice’s mother gave her a ten dollar bill to buy five pounds each of bananas and apples at the grocery store. When she got there, she found that bananas were 80¢ per pound and apples were $1.40 per pound. Did Janice’s mother give her enough money? If so, should she receive any change? If not, how much more money does she need? Show all of your work.

Answers

She doesn’t have enough money to buy

What is the distance between the points (-3,-2) and (-3,6)?
answer : ??????​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 \: units}}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

Let A ( - 3 , -2 ) be ( x₁ , y₁ ) and B ( -3 , 6 ) be ( x₂ , y₂ )

Finding the distance between these points

[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {( - 3 - ( - 3))}^{2} + {( 6 - ( - 2))}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {( - 3 + 3)}^{2} + {(6 + 2)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {(0)}^{2} + {(8) }^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{0 + 64}}} [/tex]

[tex] \longrightarrow{ \sf{ \sqrt{64}}} [/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {8}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{8 \: \: units}}[/tex]

Hope I helped!

Best regards! :D

I Need help on #7 ASAP!

Answers

Answer:

B.) 24

Step-by-step explanation:

1/3 of 48 is 16. 48-16=32. 1/2 (remaining tickets) of 32 is 16. 16+8 (tickets won)=24.

B.) 24

Hope this helps.

Use integer rules to evaluate: 85 + (-96) *

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{85 + ( - 96)}[/tex]

Multiplying positive integer and negative integer gives a negative integer i.e ( + ) × ( - ) = ( - )

[tex] \longrightarrow{ \sf{85 - 96}}[/tex]

The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \longrightarrow{ \sf{ - 11}}[/tex]

Hope I helped!

Best regards! : D

can anybody help me with this problem 324 divided by 2,456?

Answers

Answer:

[tex]0.13192182[/tex]

Step-by-step explanation:

[tex]324/2456[/tex]

To solve, divide.

[tex]324/2456[/tex]

This equals:

[tex]0.13192182[/tex]

Hope this helps!

the product of 9 and t increased by the sum of t and 2

Answers

Answer:

          9t + (t + 2)

Step-by-step explanation:

the product of 9 and t is:  9•t

the sum of t and 2 is:   t+2

increasing means adding, so:

the product of 9 and t increased by the sum of t and 2 would be:

9t + (t + 2) = 9t + t + 2  = 10t +2

9. Express 0.00419 in standard form.

Answers

Step-by-step explanation:

0.00419 = 4.19 * 10^-3.

4.19 x 10^-3 is the correct answer

Questlon 12 of 25
Find the solutions to 9x2 - 63x= 0.

Answers

Answer:

x =0 ,x =7

Step-by-step explanation:

Method 1 ; Factoring

[tex]9x^2 -63x =0\\\\\mathrm{Solve\:by\:factoring}\\\mathrm{Factor\:}9x^2-63x:\quad 9x\left(x-7\right)\\\\9x\left(x-7\right)=0\\\\\mathrm{Using\:the\:Zero\:Factor\:Principle:}\\if\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\\x =0\\\mathrm{Solve\:}\:x-7=0:\quad x=7\\x=0,\:x=7[/tex]

Method 2 ; Completing the square

[tex]9x^2-63x=0\\\\\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9x^2-63x}{9}=\frac{0}{9}\\\\x^2-7x=0\\\mathrm{Solve\:by\:completing\:the\:square}\\\mathrm{Write\:equation\:in\:the\:form:\:\:}\\x^2+2ax+a^2=\left(x+a\right)^2\\\\\mathrm{Solve\:for\:}a,\:2ax=-7x:\quad a=-\frac{7}{2}\\\\\mathrm{Add\:}a^2=\left(-\frac{7}{2}\right)^2\mathrm{\:to\:both\:sides}\\x^2-7x+\left(-\frac{7}{2}\right)^2=0+\left(-\frac{7}{2}\right)^2\\\\\mathrm{Simplify\:}\\0+\left(-\frac{7}{2}\right)^2:\quad \frac{49}{4}[/tex]

[tex]x^2-7x+\left(-\frac{7}{2}\right)^2=\frac{49}{4}\\\\\mathrm{Complete\:the\:square}\\\left(x-\frac{7}{2}\right)^2=\frac{49}{4}\\\\\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\\\\\mathrm{Solve\:}\:x-\frac{7}{2}=\sqrt{\frac{49}{4}}:\quad x=7\\\\\mathrm{Solve\:}\:x-\frac{7}{2}=-\sqrt{\frac{49}{4}}:\quad x=0\\\\x=7,\:x=0[/tex]

Answer 2/7

Explaination
multiply the numbers
9x2-63x=0
18 - 63x= 0
Move the constant to the right

-63x = -18
Divide both sides by -63
2/7

For f(x)= 1/x^2-3
find (3)
find (2+h)

Answers

Answer:

idk man im srry

Step-by-step explanation:

Answer:

2\21%5

Step-by-step explanation:

Vxvshbxl

HELP!!! MORE POINTS AND BRAINLIEST!!!

PLEASE PUT STEP BY STEP

4 divided by 6

Answers

Answer:

The answer will be 0.666 repeating.

Step-by-step explanation:

4/6 = 0.6666.....

Since the numerator (4) is smalled than the denominator(6) the answer will be a decimal.

when 4 is divided by 6 it will gives us 0.66666667....

Hope this helps!! I guess

Answer:

The fraction 4/6

has decimal expansion 0.6667

0.6667

(rounded) which means 66.67

66.67

or it can be 2/3

Step-by-step explanation:

Kaylee and her friend went to lunch at their favorite Chinese restaurant. The bill came to $26.58. If they split the bill evenly, how much did Kaylee pay for lunch?

Answers

Answer:

the amount Kaylee pays is $13.29

If they split the bill you divide $26.58 / 2 and get $13.29 is how much kaylee pays

Imani scored in the 70th percentile of her class on the latest math exam. What does this mean in relation to the data set, and what did she score on the exam? (5 points) {35, 42, 56, 68, 69, 70, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99} a. Imani scored as well as or better than 70% of her classmates, with a score of 88. b. Imani scored worse than 70% of her classmates, with a score of 72. c. Imani scored as well as or better than 70% of her classmates, with a score of 72. d. Imani scored worse than 70% of her classmates, with a score of 88.

Answers

Answer:

a. Imani scored as well as or better than 70% of her classmates, with a score of 88.

Step-by-step explanation:

ARRANGE DATA LEAST TO GREATEST

(p/100)*n

(70/100)*20=14

14th position is 88

Please Help I WILL MARK YOU BRAINLIEST.SHOW YOUR WORK PLEASE

Answers

Answer:

3⅞ is the answer to the question.

Step-by-step explanation:

The ten lightest tomatoes are in ¼, ⅜, ½, ⅝ and ⅞.

In ¼, there are 3 tomatoes, so that would be “¼×3=¾”.

In ⅜, there are 2 tomatoes, so that would be “⅜×2=¾”.

In ½, there are 3 tomatoes, so it would be “½×3=3/2”.

In ⅝, there is 1 tomato, so it would be “⅝×1=⅝”.

In ⅞, there is 1 tomato, so that would be “⅞×1=⅞”.

Now add all together:

¾ + ¾ + 3/2 + ⅝ + ⅞

= 5+5+7+6+8/8

= 31/8

= 3⅞

(a) An angle measures 83°. What is the measure of its supplement?
(b) An angle measures 65°. What is the measure of its complement?

Answers

supplementary angles add up to 180°, while complementary angles add up to 90°. to find the supplementary angle to 83° just subtract it from 180°.

180 - 83 = 97°

to find the complementary angle, just subtract 65° from 90°.

90 - 65 = 25°

97° is the answer to Part A, and 25° is the answer to Part B. hope this helps!

The division 4+2i/8-3i is performed by multiplying the numerator and denominator by

Answers

multiplying the numerator and denominator by (8+3i)

The division 4+2i/8-3i is performed by multiplying the numerator and denominator by (8+3i).

Given

The division 4+2i/8-3i is performed by multiplying the numerator and denominator by

Expression; [tex]\rm \dfrac{4+2i}{8-3i}[/tex]

A complex conjugate is formed by changing the sign between two terms in a complex number i.e. a+ ib has conjugate a-ib and a- ib has conjugate like a+ ib.

The division 4+2i/8-3i is performed by multiplying the numerator and denominator by (8+3i).

[tex]=\rm \dfrac{4+2i}{8-3i}\\\\= \rm \dfrac{4+2i}{8-3i}\times \dfrac{8+3i}{8+3i}\\\\= \dfrac{(4+2i) \times (8+3i)}{(8)^2-(-3i)^2}\\\\= \dfrac{32+12i+16i+6i^2}{64+9}\\\\=\dfrac{32+28i+6i^2}{73}[/tex]

Hence, The division 4+2i/8-3i is performed by multiplying the numerator and denominator by (8+3i).

To know more about Division click the link given below.

https://brainly.com/question/10628378

Answer of
(-2whole 2/5) × 5/6 ÷ (-13)
Plzz answer and make sure you are correct plz

Answers

Answer:

[tex] \frac{6}{13} [/tex]

Step-by-step explanation:

[tex] - 2 \frac{2}{5} \times \frac{5}{6} \div - 13[/tex]

[tex] \frac{ - 12}{5} \times \frac{5}{6} \div - 13[/tex]

[tex] - 6 \div - 13[/tex]

[tex] \frac{6}{13} [/tex]

hope it helps

for any question comment me ❤❤

2. Given that the radius of the Earth is 6340 Km. calculate the Surface Acer of earth

Answers

Answer:

Step-by-step explanation:

The surface area of a sphere (which the earth is considered to be) = 4 pi r^2

pi = 3.14

r = 6340

Area = 4 * 3.14 * 6340 * 6340 = 504856736 square km.

You should either round this to 505,000,000 or express a value in scientific notation.

5.05 * 10^8


(3x2 + 9x + 6) - (8x2 + 3x - 10) + (2x + 4)(3x - 7)

Answers

Answer:

Let's simplify step-by-step.

3x2+9x+6−(8x2+3x−10)+(2x+4)(3x−7)

Distribute:

=3x2+9x+6+−8x2+−3x+10+(2x)(3x)+(2x)(−7)+(4)(3x)+(4)(−7)

=3x2+9x+6+−8x2+−3x+10+6x2+−14x+12x+−28

Combine Like Terms:

=3x2+9x+6+−8x2+−3x+10+6x2+−14x+12x+−28

=(3x2+−8x2+6x2)+(9x+−3x+−14x+12x)+(6+10+−28)

=x2+4x+−12

Answer:

=x2+4x−12

If a = 3 what is the value of b in the equation 2a+b=13? And can you explain?

Answers

Answer:

b=7

Step-by-step explanation:

Plug 3 into a since a=3.

2(3)+b=13

Then solve for 2(3)

6+b=13

Now isolate the b, so move the 6 to the other side. (Basically subtract 6 from both sides)

b=13-6

b=7

When there is a letter next to a number you multiply so it would be 2 x A and a is 3 so 2x3=6 but to get the answer you have to subtract 6 from the total 13 and you get 7

So the answer is 7!

is this true or fals, if three sides of one triangle are congruent to three sides of another triangle then the triangles are congruent ​

Answers

Answer: the answer is true

Step-by-step explanation:

Subtract 1 + ( - 1 ) - ( - 3 ). Hint: Add the first two numbers, then subtract the -3 from the result of that addition

Answers

Answer:

Add 3. Double that. Subtract 4. Cut that in half. Subtract your original number. Your result is 1!

Step-by-step explanation:

I'm guessing, Hope its right.

Hello!
Please help it’s much needed

Answers

your answer is C love!

How do you find the point slope form for the points (2,7) and (-1,9)?

Answers

Answer:

y = -2/3 x + 25/3

Step-by-step explanation:

The slope = (y_2 - y_1) / (x_2 - x_1) = (9 - 7) / (-1 - 2) = -2/3.

Our equation needs to be in y = mx + b form.

We can plug in (2, 7) as our (x, y) and find b:

7 = -2/3 (2) + b

b = 7 + 4/3 = 25 / 3.

Therefore, our equation is y = -2/3 x + 25/3

Use the Equation(in the picture) and plug in your variables to find m(slope)

[tex]\frac{9-7}{-1-2} = \frac{-2}{3} = -0.67[/tex]

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