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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 = 2 ln x

To determine

To graph: The function y=2lnx.

Explanation

Given Information:

The provided function is y=2lnx.

Graph:

Consider the function, y=2lnx

The natural logarithmic function is defined only for positive values, so the domain of the function, y=2lnx is x>0.

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

To draw the graph of y=2lnx, 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 function y=2lnx as,

y(0.5)=2ln(0.5)=2(0.693)=1.386

Compute the value of y at x=1 by substituting x=1 in the function y=2lnx as,

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

Compute the value of y at x=2 by substituting x=2 in the function y=2lnx as,

y(2)=2ln(2)=2(0.693)=1.386

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

y(5)=2ln(5)=2(1

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