Solution Found!
a. Graph the function b. Is ƒ continuous at x = 0?c. Is ƒ
Chapter , Problem 95PE(choose chapter or problem)
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.