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Function Notation & Graphing Linear Functions

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Evaluate f(-2) if f(x) = x2+ 3

a)

-1

b)

1

c)

7

d)

-7

2.
Given g(x) = 3/4 x + 10, find g(-12). 
a)
g(-12) = 19
b)
g(-12) = 1
3.

Given f(x) = -5x - 15, find f(4).

(a)  

4.

Given f(x) = -x + 12, find f(-2).

(a)  

5.
The function h(t) = 300 – 16t represents the height of a ball (in feet) dropped from 300 feet after t seconds. What will be the height of the ball after 2.4 seconds?
a)
38.4
b)
261.6
c)
338.4
d)
384
6.

A plumber charges $70 per hour, h, plus $40 for the call. Write an equations that represents the relation between the charge, c, and the hours.


How do you write the equation in function notation?

a)

c(h) = 70h + 40

b)

h(c) = 70c + 40

c)

c(h) = 40h + 70

d)

h(c) = 40c + 70

7.

For the g(x) = 5x + 10, what is the zero of the function?

a)

5

b)

10

c)

2

d)

-2

e)

-10

8.

What is the zero(s) for the graph shown?

a)

-2

b)

-2 and 4

c)

4

d)

2

9.
a)

A

b)

B

c)

C

d)

D

10.
a)

F

b)

G

c)

H

d)

J

11.

The point on a graph where a function crosses the y-axis (Where X=0); point (0,y); the "b" in slope-intercept form.

a)

y-intercept

b)

x-intercept

12.

The point on a graph where a function crosses the x-axis (Where Y=0 ,); point (x,0)

a)

x-intercept

b)

y-intercept

13.
Amy is saving for a vacation.  She can model the amount that she has saved by the function f(x) = 50x + 200.  Which of the following represents the starting amount?
a)
200
b)
50
c)
250
d)
Cannot be determined
14.

What is the zero to the following equation:

f(x)=7x49f\left(x\right)=7x-49  



(a)  

15.

Which of the following best represents the zero of the graph shown for this function?

f(x)=3x+9f\left(x\right)=-3x+9  

a)

3

b)

9

c)

-3

d)

-9