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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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In Exercises 5-10, sketch the graph of the function.

f ( x ) = 0.5 ln x

To determine

To graph: The function f(x)=0.5lnx.

Explanation

Given Information:

The provided function is f(x)=0.5lnx.

Graph:

Consider the function, f(x)=0.5lnx

The natural logarithmic function is defined only for positive values, so the domain of the function, f(x)=0.5lnx is x>0.

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

To draw the graph of f(x)=0.5lnx, first compute the value of f(x) for different values of x.

Compute the value of f(x) at x=0.5 by substituting x=0.5 in the function f(x)=0.5lnx as,

f(0.5)=0.5ln(0.5)=0.5(0.693)=0.347

Compute the value of f(x) at x=1 by substituting x=1 in the function f(x)=0.5lnx as,

f(1)=0.5ln(1)=0.5(0)=0

Compute the value of f(x) at x=2 by substituting x=2 in the function f(x)=0.5lnx as,

f(2)=0.5ln(2)=0.5(0.693)=0.347

Compute the value of f(x) at x=5 by substituting x=5 in the function f(x)=0

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