   Chapter 10.2, Problem 28E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 25–32, use a graph of f or some other method to determine what, if any, value to assign to f ( a ) to make f continuous at x = a . [HINT: See Example 2.] f ( x ) = x 2 − 3 x x + 4 ; a = − 4

To determine

The value that is assigned to f(a) such that to make the function f(x)=x23xx+4 continuous at a=4 by use of the graph of f(x).

Explanation

Given information:

The provided function is f(x)=x23xx+4.

Consider the function,

f(x)=x23xx+4

To draw the graph of f(x)=x23xx+4, first compute the value of f(x) for different values of x.

Compute the value of f(x) at x=2 by substituting x=2 in the equation f(x)=x23xx+4 as:

f(2)=(2)23(2)2+4=466=13

Compute the value of f(x) at x=3 by substituting x=3 in the equation f(x)=x23xx+4 as:

f(3)=(3)33(3)3+4=997=0

Compute the value of f(x) at x=2 by substituting x=2 in the equation f(x)=x23xx+4 as:

f(2)=(2)23(2)2+4=4+62=5

Compute the value of f(x

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