Chapter 9.2, Problem 19E

### 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

# In Problems 17-20, use a graphing calculator to investigate whether each of the following functions has any discontinuities. f ( x ) = { x − 4 if  x ≤ 3 x 2 − 8 if  x > 3

To determine

Whether the function, f(x)={x4    if x3x28  if x>3 has any discontinuity or not by using a graphing calculator.

Explanation

Given Information:

The provided function is f(x)={xâˆ’4Â Â Â Â ifÂ xâ‰¤3x2âˆ’8Â Â â€‰ifÂ x>3.

Explanation:

Consider the provided function,

f(x)={xâˆ’4Â Â Â Â ifÂ xâ‰¤3x2âˆ’8Â Â â€‰ifÂ x>3

There are two different values of the function, f(x)=xâˆ’4 for all xâ‰¤3 and f(x)=x2âˆ’8 for all x>3

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