Post Video Questions

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Please answer each of these questions to the best of your ability. You are welcome to re-watch parts of any of the videos to help you.

The graph of the function f is shown below.

For this problem, use the graph above.

(a) On the interval $[-6, -4]$ , is $f'(x)$ : $<0$ $=0$ $>0$ more than one of the above	(b)On the interval $[-4, -2]$ , is $f'(x)$ : $<0$ $=0$ $>0$ more than one of the above
(c)On the interval $[0, 2]$ , is $f'(x)$ : $<0$ $=0$ $>0$ more than one of the above	(d)On the interval $[2, 4]$ , is $f'(x)$ : $<0$ $=0$ $>0$ more than one of the above

For this problem, use the graph above.

(a) On the interval $[-6, -4]$ , is $f'(x)$ : increasing decreasing more than one of the above	(b)On the interval $[-4, -2]$ , is $f'(x)$ : increasing decreasing more than one of the above
(c)On the interval $[0, 2]$ , is $f'(x)$ : increasing decreasing more than one of the above	(d)On the interval $[2, 4]$ , is $f'(x)$ : increasing decreasing more than one of the above

For how many values of $x$ in the interval $[-8, 10]$ does $f'(x)=0$ ? $\answer [format=integer]{3}$

From following expressions, identify the smallest and largest according to the numerical value they represent:

Largest:

$f'(8)$ $\dfrac {f(8+\Delta x)-f(8)}{\Delta x}$ for $\Delta x > 0$ $f(-6)$ $f'(-6)$

Smallest:

$f'(8)$ $\dfrac {f(8+\Delta x)-f(8)}{\Delta x}$ for $\Delta x > 0$ $f(-6)$ $f'(-6)$