Deos (f prime) (-4) exist?

F'(-4) does not exist

Step-by-step explanation:

find F prime by doing first derivative on the function F(t)

We can see that

At F'(-4), F' would equal , this is undefined, thus F'(-4) does not exist

$97520

step-by-step explanation:

add 6% to the value she got from selling the house.

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.