GRAPHING EXPONENTIAL GROWTH AND DECAY WORKSHEET

Graph and exponential function using the table provided. Then find the equation for the asymptote, and the function's domain and range.

Problem 1 :

f(x) = 2^x

Asymptote : _____

Domain : _____

Range : _____

Solution

Problem 2 :

g(x) = 3(2^x)

Asymptote : _____

Domain : _____

Range : _____

Solution

Problem 3 :

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

Asymptote : _____

Domain : _____

Range : _____

Solution

Problem 4 :

g(x) = 2^{(x - 1)}

Asymptote : _____

Domain : _____

Range : _____

Solution

Problem 5 :

f(x) = 3(4)^x + 4

Asymptote : _____

Domain : _____

Range : _____

Solution

Problem 6 :

g(x) = 2^{x - 2} - 3

Asymptote : _____

Domain : _____

Range : _____

Solution

Answer Key

1)

Horizontal Asymptote : x axis or y = 0

Domain : (-∞, ∞)

Range : (0, ∞)

2)  

Horizontal Asymptote : x axis or y = 0

Domain : (-∞, ∞)

Range : (0, ∞)

3) 

Horizontal Asymptote : x axis or y = 0

Domain : (-∞, ∞)

Range : (0, ∞)

4)  

Horizontal Asymptote : x axis or y = 0

Domain : (-∞, ∞)

Range : (0, ∞)

5)  

Horizontal Asymptote : y = 4

Domain : (-∞, ∞)

Range : (4, ∞)

6)

Horizontal Asymptote :  y = -3

Domain : (-∞, ∞)

Range : (-3, ∞)