a. Graph the function b. Is ƒ continuous at x = 0?c. Is ƒ

Chapter , Problem 95PE

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

a. Graph the function

              \(f(x)=\left\{\begin{array}{rr}x^{2}, & -1 \leq x \leq 0 \\-x^{2}, & 0 \leq x \leq 1\end{array}\right.\)

b. Is \(f\) continuous at \(x=0\)?

c. Is \(f\) differentiable at \(x=0\)?

Give reasons for your answers.

Equation Transcription:

{

Text Transcription:

f(x)={_-x^2,0 leq x leq 1 ^x^2, -1 leq x leq 0

f

x=0

f

x=0

Questions & Answers

QUESTION:

a. Graph the function

              \(f(x)=\left\{\begin{array}{rr}x^{2}, & -1 \leq x \leq 0 \\-x^{2}, & 0 \leq x \leq 1\end{array}\right.\)

b. Is \(f\) continuous at \(x=0\)?

c. Is \(f\) differentiable at \(x=0\)?

Give reasons for your answers.

Equation Transcription:

{

Text Transcription:

f(x)={_-x^2,0 leq x leq 1 ^x^2, -1 leq x leq 0

f

x=0

f

x=0

ANSWER:

Solution

Step 1 of 4

In this problem, we have to graph the given function and check the continuity of the function at the given points.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back