Question
Let $f(x)=\left\{\begin{array}{cl}|x-1|+a & , x \leq 1 \\ 2 x+3 & , x>1\end{array}\right.$If $f(x)$ has local minimum at $x=1$ and $a \geq 5$ then $a$ is equal to
Step 1
This means that $f(1)$ should be less than or equal to $f(1+h)$ and $f(1-h)$, where $h$ is a small positive number. Show more…
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