## Related questions with answers

Question

f(x) is continuous on $(-\infty, \infty)$. Use the given information to sketch the graph of f.

$\begin{aligned}&f(0)=2, f(1)=0, f(2)=-2\\&f^{\prime}(0)=0, f^{\prime}(2)=0\\&f^{\prime}(x)>0 \mathrm\ { on }\ (-\infty, 0) \mathrm\ { and }\ (2, \infty)\\&f^{\prime}(x)<0 \mathrm\ { on }\ (0,2)\\&f^{\prime \prime}(1)=0\\&f^{\prime \prime}(x)>0 \mathrm\ { on }\ (1, \infty)\\&f^{\prime \prime}(x)<0 \mathrm\ { on }\ (-\infty, 1)\end{aligned}$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 6We are given some pieces of information for $f'(x)$ and for $f''(x)$ and a few points from the graph:

$A(0, 2),~B(1,0),~C(1,0).$

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