BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1, Problem 29RE
To determine

To find: The graph for the member of the family of given functions for several values of c and then determine how the graph changes.

Expert Solution

Answer to Problem 29RE

The required graph is shown in Figure 1 and the graph is deeper at x=0 as the value of c increases.

Explanation of Solution

Given:

The given function is f(x)=ln(x2c) .

Calculation:

Consider the given functions equations,

  f(x)=ln(x2c)

The graph for the given function for the different values of c is shown in Figure 1

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1, Problem 29RE

Figure 1

The graph shows it is seen that for c<0 the function is defined at every point and as the value of c increases the dip of the graph at x=0 increases.

Consider the graph for c0 .

  limx±cln(x2c)=

Thus, the graph asymptotes at x=c .

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