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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 ) = ln ( x + 6 )

To determine

To graph: The function f(x)=ln(x+6).

Explanation

Given Information:

The provided function is f(x)=ln(x+6).

Graph:

Consider the function, f(x)=ln(x+6)

The natural logarithmic function is defined only for positive values, so the domain of the function, f(x)=ln(x+6) is x+6>0 or x>6.

As the domain is x>6, then take the value of x greater than 6.

To draw the graph of f(x)=ln(x+6), first compute the value of f(x) for different values of x.

Compute the value of f(x) at x=5 by substituting x=5 in the function f(x)=ln(x+6) as,

f(5)=ln(5+4)=ln(1)=0

Compute the value of f(x) at x=2 by substituting x=2 in the function f(x)=ln(x+6) as,

f(2)=ln(2+6)=ln(4)=1.386

Compute the value of f(x) at x=0 by substituting x=0 in the function f(x)=ln(x+6) as,

f(0)=ln(0+6)=ln(6)=1

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