   Chapter 4.4, Problem 17E ### 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 = 3   ln ( x + 1 )

To determine

To graph: The function y=3ln(x+1).

Explanation

Given Information:

The provided function is y=3ln(x+1).

Graph:

Consider the function, y=3ln(x+1)

The natural logarithmic function is defined only for positive values, so the domain of the function, y=3ln(x+1) is x+1>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=3ln(x+1), first compute the value of y for different values of x.

Compute the value of y at x=0 by substituting x=0 in the equation y=3ln(x+1) as,

y(0)=3ln(0+1)=3ln(1)=30=0

Compute the value of y at x=1 by substituting x=1 in the equation y=3ln(x+1) as,

y(1)=3ln(1+1)=3ln(2)=30.693=2.079

Compute the value of y at x=2 by substituting x=2 in the equation y=3ln(x+1) as,

y(2)=3ln(2+1)=3ln(3)=31.099=3

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