Me! or i will have to retake my whole math semester over.

g(x) = 32x - 7

Step-by-step explanation:

A vertical stretch is accomplished by multiplying by a constant greater than 1

So f(x) would be multiplied by 4 to get part of g(x)

4*f(x) = 4*8x = 32x

Now to get 7 units down subtract 7 from f(x)

4f(x) - 7= 32x - 7 Down is minus.

g(x) = 32x - 7

linear pair postulates

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.