Chapter 9.2, Problem 1CP

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# Find any x-values where the following functions are discontinuous.(a)   f ( x ) =   x 3 −   3 x   +   1 (b) g ( x ) = x 3 − 1 ( x − 1 ) ( x + 2 )

(a)

To determine

To calculate: The x-values for which the function f(x)=x33x+1 is discontinuous.

Explanation

Given Information:

The function f(x) is given as;

f(x)=x3âˆ’3x+1

Formula used:

A polynomial function is continuous everywhere in case of real numbers.

For a rational function, the denominator must not be equal to zero for continuity to exist at all points

(b)

To determine

To calculate: The x-values for which the function g(x)=x31(x1)(x+2) is discontinuous.

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