Exponential, Logarithmic and Trigonometric Functions Worksheet

Solutions

Graph the Following Exponential Functions:

1Exponential Function

2Exponential Function

3Exponential Function

Graph the Following Logarithmic Functions:

4Logarithmic Function

5 f(x) = ln x

6Logarithmic Function

7Logarithmic Function

Graph the Following Trigonometric Functions:

8Trigonometric Function

9Trigonometric Function


1

Graph the exponential function:

Exponential Function

x −3 −2 −1 0 1 2 3
f(x) = 3x 1/27 1/9 1/3 1 3 9 27

Exponential Function Graph


2

Graph the exponential function:

Exponential Function

x −3 −2 −1 0 1 2 3
f(x) = (2/5)x 15.625 6.25 2.5 1 0.4 0.16 0.064

Exponential Function Graph


3

Graph the exponential function:

Exponential Function

x −3 −2 −1 0 1 2 3
f(x) = (3/2)x 27/8 9/4 3/2 1 2/3 4/9 8/27

Exponential Function Graph


4

Graph the logarithmic function:

Logarithmic Function

x 1/8 1/4 1/2 1 2 4 8
f(x) −3 −2 −1 0 1 2 3

Logarithmic Function Graph


5

Graph the logarithmic function:

f(x) = ln x

x 0.1 0.5 1 2 3 4 5
f(x) −2.3 −0.7 0 0.7 1.1 1.4 1.6

Logarithmic Function Graph


6

Graph the logarithmic function:

Logarithmic Function

x 1/8 1/4 1/2 1 2 4 8
f(x) 3 2 1 0 −1 −2 −3

Logarithmic Function Graph


7

Graph the logarithmic function:

Logarithmic Function

x 1/8 1/4 1/2 1 2 4 8
f(x) 3/2 1 1/2 0 −1/2 −1 −3/2

Logarithmic Function Graph


8

Graph the trigonometric function:

Trigonometric Function

x 0 π/4 π/2 3π/4 π 5π/4 3π/2 7π/4
f(x) 0 −0.7 −1 −0.7 0 0.7 1 0.7 0

Trigonometric Function Graph


9

Graph the trigonometric function:

Trigonometric Function

x 0 π/4 π/2 3π/4 π 5π/4 3π/2 7π/4
f(x) 0 1 0 −1 0 1 0 -1 0

Trigonometric Function Graph