   Chapter 9.2, Problem 13E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 9-16, determine whether the given function is continuous. If it is not, identify where it is discontinuous and which condition fails to hold. You can verify your conclusions by graphing each function with a graphing utility. y = x x 2 + 1

To determine

Whether the function, y=xx2+1, is continuous and verify it by graphing the function using a graphing calculator.

Explanation

Given Information:

The provided function is y=xx2+1.

Explanation:

Consider the provided function,

y=xx2+1

The function is a rational function, that is of form f(x)g(x), where f(x)=x and g(x)=x2+1.

A rational function is continuous everywhere except the values of x where g(c)=0

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