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Worksheets

Functions Test

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

Which of the following is NOT a function?

a)
b)
c)
d)
2.

Which of the following table of values represent a function?

a)
b)
c)
d)
3.

Select the relations that represent a function. Select all that apply.

a)
b)
c)
d)
e)
4.

If  f(x)=2x2+3xf\left(x\right)=2x^2+3x  then,  f(9)=?f\left(-9\right)=?   



Type only the value. 



(a)  

5.

If M(n)=2n5M\left(n\right)=-2n-5 , find n when  M(n)=11M\left(n\right)=-11   


a)

 M(8)=11M\left(8\right)=-11  

b)

 M(3)=11M\left(3\right)=-11  

c)

 M(11)=8M\left(-11\right)=8  

d)

 M(11)=3M\left(-11\right)=3  

6.

A small rocket is launched from the the top of a 100 ft building at a velocity of 40 ft per second. The height, h(t) of the rocket after t seconds is represented by the function, h(t)=16t2+40t+100h\left(t\right)=-16t^2+40t+100 . What is a reasonable domain for this scenario.  


a)

Whole numbers

b)

 0h(t)1000\le h\left(t\right)\le100  

c)

All real numbers

d)

 0t1250\le t\le125  

7.

Find the range of the function g(x)=193xg\left(x\right)=19-3x  for the given domain,  {4,1,2,5}\left\{-4,-1,2,5\right\}  

a)
b)
c)
d)
8.

What is the domain of the graph?

a)

3x1-3\le x\le1

b)

0x40\le x\le-4

c)

4x0-4\le x\le0

d)

3<x1-3<x\le1

9.

What is the range of the graph. Select all that apply.

a)

0y0\le y\le\infty

b)

All real numbers

c)

y0y\ge0

d)

y-\infty\le y\le\infty

10.

Hunter got his first job working at Publix making $12 per hour. Hunter's schedule allows him to work 10-15 hrs per week. The function P(h) = 12h represent the total amount of money Hunter makes working h hours. What is the independent and dependent variables in this function.

a)

Independent - Hours worked

Dependent - Total money made

b)

Independent - Total money made

Dependent - Hours worked

c)

Independent - $12 per hour

Dependent - Total money made

d)

Independent - Hours worked

Dependent - Total hours worked in a week

11.

If p(q)=q2+4q12p\left(q\right)=q^2+4q-12  , find  p(1)p\left(-1\right)  




(a)  

12.

A car can travel 32 miles for each gallon of gas. The function d(x) = 32x represents the distance d(x), in miles, that the car can travel with x gallons of gas. The car's fuel tank holds 18 gal. What is a reasonable domain and range for the function?

a)
b)
c)
d)
13.

The set or ordered pairs below is a function.

 {(5,4) (3,6) (2,7) (8,1) (x,y)}\left\{\left(5,4\right)\ \left(3,6\right)\ \left(2,7\right)\ \left(8,1\right)\ \left(x,y\right)\right\}  
Which could be the fifth ordered pair in the function?

a)

(8,3)

b)

(5,7)

c)

(2,1)

d)

(9,6)

14.

What are the x values in a function? Select all that apply.

a)

Range

b)

Domain

c)

Input

d)

Output

e)

Dependent variable

15.

What are the y-values in a function? Select all that apply.

a)

Domain

b)

Range

c)

Independent variable

d)

Dependent variable

e)

Output