FINDING THE HORIZONTAL ASYMPTOTE OF AN EXPONENTIAL FUNCTION WORKSHEET

Find the horizontal asymptote of the following exponential functions.

Problem 1 :

y = 2(4/7)x - 4

Solution

Problem 2 :

Find the equation for the horizontal asymptote of the following function

equation-of-horizontal-asymptote-q1

Solution

Problem 3 :

identify the domain and range for each graphed exponential function.

equation-of-horizontal-asymptote-q2.png

Solution

Problem 4 :

identify the domain and range for each graphed exponential function.

equation-of-horizontal-asymptote-q3.png

Solution

Problem 5 :

identify the domain and range for each graphed exponential function.

equation-of-horizontal-asymptote-q4.png

Solution

Problem 6 :

Find the equation of the horizontal asymptote from the table given below.

equation-of-horizontal-asymptote-q5.png

Solution

Problem 7 :

equation-of-horizontal-asymptote-q6.png

Solution

Equation of 

For each exponential function.

  • Complete the table of points.
  • What is the y-intercept?
  • What is the horizontal asymptote of the graph?

Problem 8 :

y = 2x + 3

equation-of-horizontal-asymptote-q7.png

Solution

Problem 9 :

y = 2(3)x - 5

equation-of-horizontal-asymptote-q8.png

Solution

Problem 10 :

Write the exponential equation in the form y = abx and find horizontal asymptote.

equation-of-horizontal-asymptote-q9.png

Solution

Answer Key

1)  horizontal asymptote y = -4

2)  horizontal asymptote is y = 5.

3)  horizontal asymptote is y = 0.

4) Horizontal asymptote is y = -4.

5) Horizontal asymptote is y = 1.

6)  Equation of horizontal asymptote is y = 0.

7)  horizontal asymptote is y = 0.

8)

x

-2

0

2

4

y

13/4

4

7

19

  • y -intercept is 4.
  • Horizontal asymptote is y = 3.

9)  

x

-2

0

2

4

y

-39/8

-4

-1

-79/16

  • y -intercept is -4.
  • Horizontal asymptote is y = -5.

10)  y = 3(6)x

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