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Explain the Meaning of the Function Notation

Total questions: 12

Worksheet time: 3600secs

Name
Class
Date
1.

A plant's height is a function of the time it has grown. Time is measured in weeks. What does the notation h(4) = 5 mean?

a)
After 5 week the plant is 4 inches tall
b)
The plant grows at a rate of 5/4 inch per week
c)
After 4 weeks the plant is 5 inches tall
d)
The plant grows at a rate of 1 inch per week
2.

The speed of the baseball is a function of the time since the baseball was hit by a bat. What does f(2) = 80 represent in this situation?

a)

After 2 seconds the baseball is traveling at 80mph

b)

After 80 seconds the baseball is traveling at 2mph

c)

The baseball traveled 80mph for 2 seconds

d)

The baseball traveled 2mph for 80 seconds

3.

The function R represents the rain total rainfall, in cm, after x hours. The graph of the function is shown.

Interpret the meaning of R (1.5) = 3

a)

After 1.5 hours, 3 cm of rain has fallen.

b)

After 3 hours, 1.5 cm of rain has fallen.

c)

After 1.5 hours, 1.5 cm of rain has fallen.

d)

After 3 hours, 3 cm of rain has fallen.

4.

A babysitter's salary can be represented by a function, S, where the input is the hours worked.

What does S(7) represent?

a)

The salary of a babysitter who worked 7 hours.

b)

The hours worked if the salary is $7.

c)

The salary of a babysitter who worked 0 hours.

d)

The hours worked if the salary is $0.

5.

Function F shows the distance a car traveled after h, hours. The graph is shown.

Estimate F(6) and explain its meaning.

a)

240;

240 miles were traveled after 6 hours.

b)

240;

240 hours passed after 6 miles were driven.

c)

320;

320 miles were traveled after 6 hours.

d)

320;

320 hours passed after 6 miles were driven.

6.

What is f(4) for this graph?

a)

0

b)

1

c)

-4

d)

4

7.

Translate the function notation into a coordinate point.

f(1)=5f\left(-1\right)=5  

a)

(1,5)\left(-1,5\right)  

b)

(1,5)\left(1,5\right)  

c)

(5,1)\left(5,1\right)  

d)

(5,1)\left(5,-1\right)  

8.

Translate the coordinate pair into function notation.

(0,8)\left(0,8\right)  

a)

f(0)=8f\left(0\right)=8  

b)

f(0)=8f\left(0\right)=-8  

c)

f(8)=0f\left(8\right)=0  

d)

f(8)=0f\left(-8\right)=0  

9.

Translate the coordinate pair into function notation.

(0,8)\left(0,8\right)  

a)

f(0)=8f\left(0\right)=8  

b)

f(0)=8f\left(0\right)=-8  

c)

f(8)=0f\left(8\right)=0  

d)

f(8)=0f\left(-8\right)=0  

10.
What is x if
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
11.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
12.

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

a)

-1

b)

1

c)

5

d)

-5