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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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Matching In Exercises 9-12, match the function with its graph. [The graphs are labeled (a)–(d).]

Chapter 4.4, Problem 9E, Matching In Exercises 9-12, match the function with its graph. [The graphs are labeled (a)(d).]

f ( x ) = 2 + ln x

To determine

The correct match of the function f(x)=2+lnx from the provided graphs,

Explanation

Given Information:

The provided function is f(x)=2+lnx and the provided graphs are,

Consider the function, f(x)=2+lnx

The natural logarithmic function is defined only for positive values, so the domain of the function, f(x)=2+lnx is x>0. Then, the vertical asymptote of the function is x=0 as the function f(x) only gives value for x>0.

Compute the value of f(x) at x=1 as,

f(1)=2+ln(1)=2+0=

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