F(x) = -22 + x + 14
Find f(2)

sln

f(x) =-22+x+14 put 2 in x

f(2)=-22+2+14

f(2) =38

the correct answer to your question is a. 4^4

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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.