   Chapter 4.4, Problem 13E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Graphing Logarithmic Functions In Exercises 13–20, sketch the graph of the function. See Example 1. y = ln ( x − 1 )

To determine

To graph: The function y=ln(x1).

Explanation

Given Information:

The provided function is y=ln(x1).

Graph:

Consider the function, y=ln(x1)

The natural logarithmic function is defined only for positive values, so the domain of the function, y=ln(x1) is x1>0 or x>1.

As the domain is x>1, then take the value of x greater than 1.

To draw the graph of y=ln(x1), first compute the value of y for different values of x.

Compute the value of y at x=1.5 by substituting x=1.5 in the equation y=ln(x1) as,

y(1.5)=ln(1.51)=ln(0.5)=0.693

Compute the value of y at x=2 by substituting x=2 in the equation y=ln(x1) as,

y(2)=ln(21)=ln(1)=0

Compute the value of y at x=3 by substituting x=3 in the equation y=ln(x1) as,

y(3)=ln(31)=ln(2)=0.693

Compute the value of y at x=4 by substituting x=4 in the equation y=ln(x1) as,

y(4)=ln(41)=ln(3)=1

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