Chapter 9.2, Problem 4E

### 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. y = x 2 − 9 x + 3 , x = 3

To determine

Whether the function, y=x29x+3, is continuous or discontinuous at x=3.

Explanation

Given Information:

The provided function is y=x2âˆ’9x+3.

Explanation:

Consider the provided function,

y=x2âˆ’9x+3

Rewrite the function,

f(x)=x2âˆ’9x+3

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=3 if all the three conditions are satisfied for x=3.

To check whether the value of f(3) exists, substitute 3 for x,

f(3)=(3)2âˆ’93+3=9âˆ’96=06=0

Thus, the value of f(3) exists and is equal to 0

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started