Chapter 9.2, Problem 5E

### 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 − x − 12 x 2 + 3 x , x = − 3

To determine

Whether the function, y=x2x12x2+3x, is continuous or discontinuous at x=3.

Explanation

Given Information:

The provided function is y=x2âˆ’xâˆ’12x2+3x.

Explanation:

Consider the provided function,

y=x2âˆ’xâˆ’12x2+3x

Rewrite the function,

f(x)=x2âˆ’xâˆ’12x2+3x

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=âˆ’3 if all the three conditions are satisfied for x=âˆ’3

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#### In Exercises 516, evaluate the given quantity. log218

Finite Mathematics and Applied Calculus (MindTap Course List)