Solved: a. Graph the function b. Is ƒ continuous at x =

Chapter , Problem 96PE

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QUESTION:

a. Graph the function

\(f(x)=\left\{\begin{array}{ll}x, & -1 \leq x<0 \\\tan x, & 0 \leq x \leq \pi / 4\end{array}\right.\)

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,  -1 leq x < 0 tan x, & 0 leq x leq pi/4.

f

x =

f

x = 0

Questions & Answers

QUESTION:

a. Graph the function

\(f(x)=\left\{\begin{array}{ll}x, & -1 \leq x<0 \\\tan x, & 0 \leq x \leq \pi / 4\end{array}\right.\)

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,  -1 leq x < 0 tan x, & 0 leq x leq pi/4.

f

x =

f

x = 0

ANSWER:

Solution:

Step 1 of 3

In this problem, we have to draw the graph of the function.

(a) Graph the function


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