Graph the Following Exponential Functions:

Exercise 1

Exercise 2

Exercise 3

Graph the Following Logarithmic Functions:

Exercise 4

Exercise 5

f(x) = ln x

Exercise 6

Exercise 7

Graph the Following Trigonometric Functions:

Exercise 8

Exercise 9

Solution of exercise 1

Graph the exponential function:

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

Solution of exercise 2

Graph the 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

Solution of exercise 3

Graph the 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

Solution of exercise 4

Graph the logarithmic function:

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

Solution of exercise 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

Solution of exercise 6

Graph the logarithmic function:

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

Solution of exercise 7

Graph the 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

Solution of exercise 8

Graph the 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

Solution of exercise 9

Graph the 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

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.