At what values of x, does f(x)=0
a. -4
b. 0
c. 4
d. 2
e. -1
f. 8

Options C, D, E are correct.

Step-by-step explanation:

See the graph shown in the attached file with the question.

It is clear from the graph that it touches the y-axis at three different points.  

So, there will be three different values of x for which f(x) = 0

And those values of x are - 1, 2, 4

Therefore, options C, D, E are correct. ( Answer )

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

13cm

step-by-step explanation:

(apex)