Chapter 9.2, Problem 6E

### 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 3-8, determine whether each function is continuous or discontinuous at the given x-value. Examine the three conditions in the definition of continuity. f ( x ) = x 2 − 6 x + 8 x 2 + x − 20 , x = 4

To determine

Whether the function, f(x)=x26x+8x2+x20, is continuous or discontinuous at x=4.

Explanation

Given Information:

The provided function is f(x)=x2âˆ’6x+8x2+xâˆ’20.

Explanation:

Consider the provided function,

f(x)=x2âˆ’6x+8x2+xâˆ’20

A function, f, is continuous at x=c if f(c) exists, limxâ†’cf(x) exists and limxâ†’cf(x)=f(c).

The function is continuous at x=4 if all the three conditions are satisfied for x=4

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