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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Graphing Logarithmic Functions In Exercises 53–56, sketch the graph of the function.

y = ln ( 4 x )

To determine

To graph: The function y=ln(4x).

Explanation

Given Information:

The provided function is y=ln(4x).

Graph:

Consider the function,

y=ln(4x)

The natural logarithmic function is defined only for positive values, so the domain of the function, y=ln(4x) is 4x>0 or x<4.

As the domain is x<4, then take the value of x lesser than 4.

To draw the graph of y=ln(4x), first compute the value of y for different values of x.

Compute the value of y at x=3 by substituting x=3 in the function y=ln(4x) as,

y(3)=ln(43)=ln(1)=0

Compute the value of y at x=2 by substituting x=2 in the function y=ln(4x) as,

y(2)=ln(42)=ln(2)=0.693

Compute the value of y at x=1 by substituting x=1 in the function y=ln(4x) as,

y(1)=ln(41)=ln(3)=1.099

Compute the value of y at x=0 by substituting x=0 in the function y=ln(4x) as,

y(0)=ln(40)=ln(4)=1

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