Free Printable Exponential Functions and Graphs

1.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

a)

^.08

b)

^1.08

c)

.92

d)

8

2.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

3.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

4.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

5.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

a)

y=5000(0.7)^x

b)

y=30(5000)^x

c)

y=5000(1.3)^x

d)

y=5000x^x

6.

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

a)

9766

b)

9006

c)

9765

d)

5433

7.

Given y=3^xdetermine the y-intercept

a)

(0,1)

b)

(0,3)

8.

What type of function is y = 7(5/4)^x?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

9.

What does this graph represent?

a)

Exponential Decay

b)

Exponential Growth

10.

What is the initial value of the situation represented by f(x)=0.05(2)^x?

a)

0.05

b)

2

c)

0.1

d)

1

11.

What is the asymptote of the parent function y=2^x?

a)

x=0

b)

y=0

c)

x=2

d)

y=2

12.

What is the x-intercept of the exponential function?

a)

(0,1)

b)

(0,0)

c)

There is not one

13.

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

a)

4 units up

b)

4 units to the left

c)

4 units to the right

d)

4 units down

14.

What kind of transformation is represented?

a)

up 1 unit

b)

left 1 unit

c)

right 1 unit

d)

down 1 unit

15.

What transformations have happened to f(x) = 2^x if the new equation is
g(x) = -2^(x+3) -6

a)

It stayed the same

b)

reflects, up 3, left 6

c)

reflects, right 3, down 6

d)

reflects, left 3, down 6

16.

What is the y-intercept?

a)

(0,0)

b)

(0,1)

c)

(-3,0)

d)

(0,-3)

17.

Find the domain.

a)

all values less than 1

b)

all real numbers

c)

all positive numbers

d)

all values less than 0

18.

Which equation best describes the graph?

a)

y = 2^x + 4

b)

y = 2^x - 3

c)

y = 2^x - 4

d)

y = 2^x + 3

19.

What is the asymptote value in the function?

a)

3

b)

2

c)

7

d)

0

20.

Does the function $y=\frac{1}{2}\left(2\right)^x-5$ model exponential growth or decay?

a)

Growth

b)

Decay

c)

Neither

d)

Both

21.

Does the function $y=\left(\frac{1}{2}\right)^x+3$ model exponential growth or decay?

a)

Growth

b)

Decay

c)

Both

d)

Neither

22.

What could the equation of the exponential function in the graph be?

a)

y = 2^x + 2

b)

y = (1/2)^x + 2

c)

y = 1/2(4)^x + 2

d)

y = 2^x - 2

23.

What could the equation of the exponential function in the graph be?

a)

y = (1/2)^x - 1

b)

y = (1/2)^x + 1

c)

y = 2x - 1

d)

y = 2^x + 1

24.

The graph of $y=4^x-2$ looks like the graph of the parent function $y=4^x$ shifted ...

a)

up 2 units

b)

down 2 units

c)

2 units in the negative x direction (left)

d)

2 units in the positive x direction (right)

25.

The graph of $y=2^x+3$ looks like the graph of the parent function $y=2^x$ shifted ...

a)

up 3 units

b)

down 3 units

c)

3 units in the negative x direction (left)

d)

3 units in the positive x direction (right)

26.

The graph of $y=-5^x$ looks like the graph of the parent function $y=5^x$ ...

a)

reflected over the Y axis

b)

reflected over the X axis

c)

shifted up 5 units

d)

shifted down 5 units

27.

The graphs of $y=2^x$ and $y=2^x+k$ are shown. What must the value of $k$ be?

a)

2

b)

-2

c)

5

d)

-5

28.

The graphs of $y=2^x$ and $y=2^x+k$ are shown. What must the value of $k$ be?

a)

2

b)

-2

c)

1

d)

-1

29.

The graphs of $y=2^x$ and $y=2^{\left(x-h\right)}$ are shown. What must the value of $h$ be?

a)

3

b)

-3

c)

7

d)

-7

30.

The graphs of $y=2^x$ and $y=2^{\left(x-h\right)}$ are shown. What must the value of $h$ be?

a)

2

b)

-2

c)

4

d)

-4

31.

Determine the range for the function.
$f\left(x\right)=2^{x-4}+5$

a)

y > 4

b)

y > 2

c)

y > 3

d)

y > 5

32.

Name the asymptote.

a)

x = -4

b)

y = -5

c)

y = -4

d)

x = -5

33.

Name the range.

a)

x> -4

b)

y > -5

c)

y < -4

d)

x < -5

34.

Name the asymptote.

a)

x = 1

b)

y = 2

c)

y = 1

d)

x = 2

35.

Name the range.

a)

x> 2

b)

y < 3

c)

y < 2

d)

y>2

Exponential Functions and Graphs

Total questions: 35

Worksheet time: 37mins

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