Submetes Reader Tools
2 500
7.500
5.000
2 500 - 5.000
5.000 + 2 500
5.000 +7.500
Deposited (dollars)
500
rate of change =
Gars per
2.500

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.

16

step-by-step explanation: