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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 13–20, sketch the graph of the function. See Example 1.

y = 5 + ln x

To determine

To graph: The function y=5+lnx.

Explanation

Given Information:

The provided function is y=5+lnx.

Graph:

Consider the function, y=5+lnx

The natural logarithmic function is defined only for positive values, so the domain of the function, y=5+lnx is x>0.

As the domain is x>0, then take the value of x greater than 0.

To draw the graph of y=5+lnx, first compute the value of y for different values of x.

Compute the value of y at x=0.5 by substituting x=0.5 in the equation y=5+lnx as,

y(0.5)=5+ln(0.5)=5+(0.693)=4.307

Compute the value of y at x=1 by substituting x=1 in the equation y=5+lnx as,

y(1)=5+ln(1)=5+0=5

Compute the value of y at x=2 by substituting x=2 in the equation y=5+lnx as,

y(2)=5+ln(2)=5+0.693=5.693

Compute the value of y at x=3 by substituting x=3 in the equation y=5+lnx as,

y(3)=5+ln(3)=5+1

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