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linear and exponential functions

Total questions: 35

Worksheet time: 3hrs 57mins

Name
Class
Date
1.

Is the equation linear or exponential?

a)
Linear
b)
Exponential
c)
Neither
d)

Quadratic

2.

Is the equation linear or exponential?

a)
Linear
b)
Exponential
c)
Neither
d)

Quadratic

3.

Is the graph linear, exponential growth, or exponential decay?

a)
Linear
b)

Exponential Growth

c)
Neither
d)

Exponential Decay

4.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
5.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
6.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
7.

What type of function is this?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Non-function

8.

What type of function is this?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Non-function

9.

What type of function is the equation f(x)=2xf\left(x\right)=2^x  

a)

Linear

b)

Exponential

c)

Quadratic

d)

Non-function

10.

What equation represents this table:

a)

f(x)=(13)xf\left(x\right)=\left(\frac{1}{3}\right)^x  

b)

f(x)=3x+1f\left(x\right)=3x+1  

c)

f(x)=3xf\left(x\right)=3^x  

d)

f(x)=x2+1f\left(x\right)=x^2+1  

11.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
12.

Identify the initial value:

y = 6.87 (4)x

a)

a = 4

b)

a = 6.87

c)

a = 3

d)

a = 1

13.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
14.

Which type of function is given by the table?

a)

Linear

b)

Exponential

c)

Neither of these

15.

Samantha sells banana cakes in her online shop. She sold 100 cakes the first month, and the amount she sold tripled each month. Does this represent a linear or exponential model, or neither?

a)

Linear

b)

Exponential

c)

Neither

16.

A student writes a friendly note to 3 people to cheer them up. Each of those 3 students sends a friendly note to 3 other students, and each of those sends a friendly note to 3 other students. This pattern continues throughout the school. Does this represent a linear or exponential relationship or neither?

a)

Linear

b)

Exponential

c)

Neither

17.

Identify the function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the Above

18.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

19.
a)

Linear

b)

Quadratic

c)

None of These

d)

Exponential

20.

Is the table linear, exponential, Quadratic, or not a function at all?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Not a function

21.

Is it linear, quadratic, or exponential?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Outrageously outrageous

22.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

23.
Pick a function that best models the following situation:  A babysitter getting paid hourly.
a)
Exponential
b)
Linear
c)
Quadratic
d)
Neither
24.

What type of function is f(x)=2(3x) ?

a)

Quadratic

b)

Linear

c)

Exponential

25.
What is b, the common ratio, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
26.

What is the value for f(10)?

a)

$25

b)

$30

c)

$32

d)

$35

27.

What is the average rate of growth?

a)

2 cm/day

b)

2 days/cm

c)

1 cm/day

d)

1 day/cm

28.
Given the graph below, what are the x and y intercepts? 
a)
x = -2 and y = 1
b)
x = 1 and y = -2
29.

How many days does it take for the plant to reach a height of 7 cm?

a)

5

b)

6

c)

7

d)

8

30.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

31.

If I know that f(2) = 4, what is another way I can write my answer?

a)

2,4

b)

(2, 4)

c)

That is the only way to write it.

32.
Given f(x) = -4x - 10 and f(x) = 10. Find x
a)
x = -5
b)
x = 5
c)
x = -50
d)
x = 30
33.
What type of function describes the story below?
You have $10 and earn $5 every week. 
a)
Linear
b)
Exponential
c)
Neither
34.
The iPhone X is valued at $1000 upon purchase. The value is expected to decrease by 14% each year. What type of function is this? 
a)
Linear 
b)
Exponential 
c)
Neither 
35.

True or False: This is an exponential function.

a)

True

b)

False

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