Let $f(x) = \left\{ \begin{array}{r} |x|,\ \ for\ 0

Question

Let $f(x) = \left\{ \begin{array}{r} |x|,\ \ for\ 0 < |x| \leq 2 \ 1,\ \ \ \ \ \ for\ \ \ x = 0 \end{array} ight.\$, then at $x = 0,\ f$ has

Dr. Abubacker · Accepted Answer

(a)
Given,
$f(x) = \left\{ \begin{array}{r}
|x|,\ \ for\ 0 < |x| \leq 2 \
1,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ for\ x = 0
\end{array} ight.\$
It is clear from the graph that $f(x)$ has local maximum.
[image:6_image24.emf]

Q. Let $f(x) = \left\{ \begin{array}{r} |x|,\ \ for\ 0 < |x| \leq 2 \\ 1,\ \ \ \ \ \ for\ \ \ x = 0 \end{array} \right.\$, then at $x = 0,\ f$ has

Explanation

Reviewed by Dr. Abubacker

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