Consider the function f(x) = round(x), which rounds the input, x, to the nearest integer. Is this function one-to-one? Explain or justify your answer.

Answers

Answer 1

Answer: The function is not one-to-one

Step-by-step explanation:

An one-to-one function is such that no two elements in the domain correspond to the same element in the range.

Now, we have the function:

y = f(x) = round(x)

Which rounds x to the nearest whole number.

Now, to round to the next whole number we must look at the first number after the decimal point.

If that number is 5 or larger, we round up

If that number is smaller than 5, we round down.

Then, for example:

f(1.2) = 1

because the first number after the decimal point is smaller than 5.

and:

f(1.1) = 1

f(1.2) = 1

f(1.2423) = 1

f(1.348)  = 1

So we have a lot (if x is real, we have infinite) values of x that are maped into the same value in the range.

Then this can not be an one-to-one function.


Related Questions

A​ student's cost for last semester at her community college was ​$2000. She spent ​$340 of that on books. What percent of last​ semester's college costs was spent on​ books?

Answers

Answer:

17%

Step-by-step explanation:

2000-340= 1660

1660/2000= 83% (1660 is 83% of 2000)

100%-83%= 17% so 17% of 2000 is 340.

Please help will give brainliest

Answers

Answer:

-5 ⁷/12

Step-by-step explanation:

-⁷/12+ -5

-5 ⁷/12

Answer:

Mixed Number: -5 7/12

Improper Fraction: -67/12

Step-by-step explanation:

-7/12 + (-5)

-7/12 - 5/1

Change so they have a common denominator

-7/12 - 60/12

= -67/12

= -5 7/12

Hope this helps


Please help me fast

Answers

Answer:

Step-by-step explanation:

L=k/m + 2R

L-2R=K/m

K=m(L-2R)

L=4800 , R=290 , m=5/12

K=m(L-2R)

K=5/12 ( 4800-2(290))

K=5/12 (4800-580)

K=5/12(4120)

K=5275/3=1758.3

Whats the answer? thanks

Answers

Answer:

to what

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

There is no question.

HELP!!! BRAINLIEST!!The expression on the left side of an equation is shown below.

Negative 4 (x minus 2) + 5 x = box

If the equation has no solution, which expression can be written in the box on the other side of the equation?

Answers

Answer:

Expression that can be written in the box on the other side of the equation will be x

Step-by-step explanation:

The left side of equation is:

Simplifying the equation we get:

An equation has no solution when, we cannot find the value of x.

So, The order side of equation can be x

i.e,

So, expression that can be written in the box on the other side of the equation will be x

Answer:

X is your answer

Step-by-step explanation:

:)

Ryan shaded 70 squares on his hundredths grid. Sarah shaded 80 squares on her hundredths grid.

This image shows two hundredths grid next to each other. First hundredth grid has 70 squares shaded in blue and remaining are empty and second hundredth grid has 80 squares shaded in red and remaining are empty.

Part A
Which value is greater than Ryan’s decimal and less than Sarah’s decimal?
70100+4100 60100+5100 80100+1100 80100+15100
Part B
Select all the decimals that show how much of the grid Ryan shaded.
0.700
0.07
0.7
0.070
0.70

Answers

Answer:

0.7

Step-by-step explanation:

Answer:

  A.  70/100 +4/100

  B. 0.700, 0.7, 0.70

Step-by-step explanation:

A. The number between Ryan's 70/100 and Sarah's 80/100 will be 70/100 + some number less than 10/100, such as ...

  70/100 +4/100

__

B. Trailing zeros (or their lack) don't change the value. Ryan has 70/100 = 0.70 of the grid shaded. Equivalent numbers are ...

  0.70

  0.7

  0.700

Which statements about the graph of a function, its additive inverse, and its multiplicative inverse are true? Check all that apply.
The sum of the function and its additive inverse is 0.
The function and its additive inverse have symmetry over the x-axis. The function and its additive inverse have symmetry over the y-axis. The product of the function and its multiplicative inverse is 1.
The function and its multiplicative inverse have rotational symmetry.

Answers

Answer:

A B D

The sum of the function and its additive inverse is 0.

The function and its additive inverse have symmetry over the x-axis.

The product of the function and its multiplicative inverse is 1.

Step-by-step explanation:

Answer:

The correct answers are:

A, B, and D.

Step-by-step explanation:

Edge 2020

Need help ASAP with geometry work.Its barely my third day of school Pleaseeee helpppp

Answers

download google app and use the picture icon and take a picture of your worksheet you’ll find all the answers !!

Adalyn earns $42 for mowing lawns for 6 hours. If Adalyn charges at the same rate, how many hours will it takes her to earn $63

Answers

2 hours is how long it would take
6hours is $42
x hours is $63

63 x 6 = 378
378/42 = 9

it will take her 9 hours

Look at the number line below.




Which expression represents the distance between T and U on the number line?

*please I need help!*

A). |-2+ -5|
B). |-2 - -5|
C). -5 - -2
D). |-2|+|-5|

Answers

B. is the ans hope you get a hundred

A publisher sells digital copies of their new book, paperback copies or barnacle copies. For every 4 digital sales they make, they make 5 paperback sales and 1 hardback sale. In the first week of sales, the company sells 307 more paperback copies of the book than hardback copies. How many total copies of the book did the company make in week 1?

Answers

Answer:

Step-by-step explanation:

A publisher sells digital copies of their new book, paperback copies or barnacle copies.

Digital sales = d

Paper back sales = p

Hard back sales = h

For every 4 digital sales they make, they make 5 paperback sales and 1 hardback sale.

In the first week of sales, the company sells 307 more paperback copies of the book than hardback copies.

p = 307 + h

How many total copies of the book did the company make in week 1?

#2 Find the measure of x.

Answers

Answer:

60 degrees

Step-by-step explanation:

Since all the sides are congruent it is an equilateral triangle and all equilateral triangles have angles of 60 degrees.

Another way to solve it is knowing that if all sides are congruent that means all angles are congruent. Then doing 180/3 because all triangles have 180 degrees and there are three equivalent angles.

Miguel walks 3/4 miles around the high school track in 1/2 hour. How far can he walk in 2 hours?

Answers

Answer: 3 miles in 2 hours


When factored, the trinomials x2 + 4x − 21 and x2 + 11x + 28 have one binomial factor in common. What is this factor?

x − 7
x + 7
x − 5
x + 5


Helpppppp

Answers

Answer:

x + 7

Step-by-step explanation:

x^2 + 4x − 21 =

= (x + 7)(x - 3)

x^2 + 11x + 28 =

= (x + 4)(x + 7)

Answer: x + 7

Sketch and describe the figure formed by rotating the shape along the given axis. Then, find its volume and surface area.

Answers

Answer:

3/12

Step-by-step explanation:

The relation (3,-5) (2,-4) (1,-3) (2,-2) (3,-1) Is a function? True or false

Answers

False because x can only have one y or an input can only have one output. 3 has two outputs and so does 2 so this is not a function.
it’s not a function

I Need with help with 55

Answers

Answer:

y = -3x -6

Step-by-step explanation:

The y intercept is -6 and the slope is -3

Using the slope intercept form of a line

y = mx+b where m is the slope and b is the y intercept

y = -3x -6

Find the value of x.
х
67°
у
I tried doing 180-67= 113 divided by 2 but it didn’t work

Answers

Answer:

no need to divide by 2.

Step-by-step explanation:

let's see u will understand.

solution,

x+67=180 (being straight line)

or, x=180-67

x=113 answer.

hope it'll help you.

Answer:

113°

Step-by-step explanation:

x and the angle with 67° are complementary angles and their sum is equal to 180°

x + 67 = 180 subtract 67 from both sides

x = 113°

40 inches to 4 feet as a fraction without units

Answers

Answer:

3 1/3

Step-by-step explanation:

40 Is 8 less than 48 so as a mixed number it can be 4 instead it has to be 3. Also the fraction is 8 less than 12 which is four so written out its.

3 4/12

which can be simplified to

3 1/3

Hope this helps :)

which of the following doesn't belong?

Answers

I would say C because it does not have a 90° angle, but the rest has at least 1 90° angles.

Ahmed, Mustafa and Yasir working together can harvest their field in 6 days. Working alone Mustafa takes twice as long as Ahmed to harvest the field. Yasir takes 3 times as long as Ahmed.

How long would it take each working alone?

Answers

a: ahmed, m:mustafa, y:yasir

a+m+y=6
m=2a
y=3a
a+2a+3a=6
6a=6

a=1 day
m=2 days
y=3 days

1.2.3 Quiz: Graphing Functions
Question 6 of 10
The absolute value function is one-to-one, while the greatest integer function
is many-to-one.
A. True
B. False

Answers

Answer:

false

Step-by-step explanation:

The statement shown above is false. The absolute value function is not not one to one, and the greatest integer function is not many to one. Therefore the correct answer choice is B) False. The best way to find whether a function is one to one is explained in the attachment.

whats a area of a triangle

Answers

Answer:

A=hbb/2

Step-by-step explanation:

Area= height*base/2

i hope this is correct :)

the number 5 as a fraction with the denominator 10

Answers

Answer:

50/10 is the answer to the question

Answer:

50/10

Step-by-step explanation:

50 divided by 10 = 5

Brandon has 7 1/2 gallons of paint. He plans on using 1 1/2
gallons on each room. How many rooms will he be able to paint?

Answers

Answer:

5 rooms

Step-by-step explanation:

7.5 divided by 1.5 is equal to 5

Answer:

6

Step-by-step explanation:

please help ? i’ll give brainliest !

Answers

Answer:

3,20 is the point bc thats the only thing it intersects with

Step-by-step explanation:

Move the slider to change the value of n. Watch what happens to the preimage and the image of the triangle. Set n to any value that you wish, and enter it in the table. Then enter the coordinates of the vertices for . Do this for at least three different values of n.

Answers

this is the sample answer if you're doing PLATO

Answer: PLATO/Edmentum

Step-by-step explanation:

3. Determine the midpoint betweeh the points (1, 4) and (5,-4).
A. (3, 1)
B. (-1,0)
C. (4, -8)
OD. (3, 0)
E. (6, 0)

Answers

Answer:

D.

Step-by-step explanation:

(x1+x2/2,y1+y2/2)

(1+5/2,4+-4/2) add

(6/2,0/2) divide

(3,0)

please help!!
find the real roots of the equation 7x^2+3x+1 = 0

Answers

☽------------❀-------------☾

Hi there!

~

[tex]7x^2+3x+1 = 0[/tex]

Find the roots of [tex]x = - \frac{3-i\sqrt{19} }{14},\frac{3+i\sqrt{19} }{14}[/tex] by solving for x.

[tex]x = \frac{-3± i\sqrt{19} }{14}[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

in the triangle below what is the length of bc

Lmk ASAP

Answers

Answer: A. 12

AB and BC are the same length because the opposite angles (A and C) are the same measure. This is an isosceles triangle with two sides being the same length.

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