Free Printable Exponential Functions

Worksheets

Exponential Functions

Total questions: 30

Worksheet time: 1hrs 27mins

Name

Class

Date

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

4 units up

4 units to the left

4 units to the right

4 units down

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

It stayed the same

reflects, up 3, left 6

reflects, right 3, down 6

reflects, left 3, down 6

Describe the transformation(s) of the function when compared to its parent function.

Translation up 2 units and translation right 1 unit

Translation down 2 units and Translation left 1 unit

Translation left 2 units and Translation up 1 unit

Translation right 2 units and Translation down 1 unit

What transformations have happened to f(x) = 2^x if the new equation is

g(x) = -2^(x+3) -6

reflects across the x-axis, translate right 3 units, translate up 6 units

reflects across the x-axis, translate up 3 units, translate left 6 units

reflects across the x-axis, translate right 3 units, translate down 6 units

reflects across the x-axis, translate left 3 units, translate down 6 units

Given g(x)=(1/2)^x

Write a function that is translated 5 units left and translated 4 units up.

f(x)= (1/2)^x+5+ 4

f(x)= (1/2)^x+4+ 5

f(x)= (1/2)^x-5- 4

f(x)= (1/2)^x+5- 4

Describe the transformation from the red line to the blue line

Up 2

Down 2

Left 2

Right 2

What equation would allow for the transformation from the red line to the blue line?

y=2^(x-1)

y=2^x+1

y=2^x-1

y=2^(x+1)

Given g(x)=(1/2)^x
Write a function that is reflected over the line y=0 and translated 4 units up.

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

f(x)= -(1/2)^x+4

f(x)= (1/2)^x-4

f(x)= -(1/2)^x+4

What transformations occur in the following function?

right 3, up 2

left 3, up 2

left 3, down 2

right 3, down 2

10.

Is the value of the Base MORE or LESS than one?

Less

11.

What transformations occur in the following function?

right 3, up 2

right 3, down 2

12.

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

Exponential Growth

Exponential Decay

Linear

None

13.

What is the y-intercept of
y = -9(2/3)^-x

(0,-9)

(0,2/3)

(0,3/2)

(0,9)

14.

How would you change the function so that it is decreasing?
y = 3(2)^x

Change the x to -x

Change the 2 to -2

Change the 3 to 7

Change the x to t

15.

In an exponential function, what does the 'a' represent?

SLOPE

RATE OF CHANGE

Y-INTERCEPT

COMMON RATIO

16.

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

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

17.

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

y=5000(0.7)^x

y=30(5000)^x

y=5000(1.3)^x

y=5000x^x

18.

Is the pictured graph growth, decay, or linear or quadratic?

Growth

Decay

Linear

Quadratic

19.

Which function represents the table of values?

f(x) = 4x

f(x) = x³

f(x) = 4^x

f(x) = 4^x-1

20.

What is the Horizontal Asymptote?

y = 7

x = 7

y = 3

y = 0

21.

What is the asymptote of this function?

y = 0

y = 5

y = 2

y = 1

22.

Whats the horizontal asymptote?

y=1

y=0

(0,-1)

y=-1

23.

What is the range of this graph?

y = 6

(0, -4)

y > -6

y < -6

24.

What is the domain?

(-∞, ∞)

(0, ∞)

(-∞, 0)

[0, ∞)

25.

Determine the range for the function

f(x) = 2^x-4+ 5

(-∞,∞)

(5,∞)

(4,∞)

(-∞, 5)

26.

What is the asymptote?

y = 0

y = 1

(-∞ , ∞)

27.

What is the x-intercept(s)?

(0 ,1)

(-∞, ∞)

None

(0 , 0)

28.

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

$15,415.94

$15,683.28

$15,927.56

$16,109.05

29.

Given an investment of $1,500:
Which investment would have a larger balance after 5 years?
Option 1 - 4% compounded monthly
Option 2 - 3.9% compounded daily.

Option 1

Option 2

30.

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

$1,225,54

$2,225.54

$22,255.40

$225.54

Reset

Exponential Functions

Total questions: 30

Worksheet time: 1hrs 27mins

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