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) = 2x

graphing-exponential-growth-and-decay-q1
graphing-exponential-growth-and-decay-q1-1

Asymptote : _____

Domain : _____

Range : _____

Solution

Problem 2 :

g(x) = 3(2x)

graphing-exponential-growth-and-decay-q2
graphing-exponential-growth-and-decay-q2-2

Asymptote : _____

Domain : _____

Range : _____

Solution

Problem 3 :

f(x) = (1/2)x

graphing-exponential-growth-and-decay-q3
graphing-exponential-growth-and-decay-q3-2

Asymptote : _____

Domain : _____

Range : _____

Solution

Problem 4 :

g(x) = 2(x - 1)

graphing-exponential-growth-and-decay-q4
graphing-exponential-growth-and-decay-q4-2

Asymptote : _____

Domain : _____

Range : _____

Solution

Problem 5 :

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

graphing-exponential-growth-and-decay-q5
graphing-exponential-growth-and-decay-q5-2

Asymptote : _____

Domain : _____

Range : _____

Solution

Problem 6 :

g(x) = 2x - 2 - 3

graphing-exponential-growth-and-decay-q6
graphing-exponential-growth-and-decay-q6-2

Asymptote : _____

Domain : _____

Range : _____

Solution

Answer Key

1)

graphing-exponential-growth-and-decay-s1

Horizontal Asymptote : x axis or y = 0

Domain : (-∞, ∞)

Range : (0, ∞)

2)  

graphing-exponential-growth-and-decay-s2

Horizontal Asymptote : x axis or y = 0

Domain : (-∞, ∞)

Range : (0, ∞)

3) 

graphing-exponential-growth-and-decay-s3

Horizontal Asymptote : x axis or y = 0

Domain : (-∞, ∞)

Range : (0, ∞)

4)  

graphing-exponential-growth-and-decay-s4

Horizontal Asymptote : x axis or y = 0

Domain : (-∞, ∞)

Range : (0, ∞)

5)  

graphing-exponential-growth-and-decay-s5

Horizontal Asymptote : y = 4

Domain : (-∞, ∞)

Range : (4, ∞)

6)

graphing-exponential-growth-and-decay-s6

Horizontal Asymptote :  y = -3

Domain : (-∞, ∞)

Range : (-3, ∞)

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