Which ordered pair is a solution of the equation shown?
A) (-4/3 , -1/2)
B) (0 , 3/4)
C) (4/3 , 1/2)
D) (4, 3/2)​

i'm sure goog can you get that 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.