Given OLLON
AS
mZDOM = 3.c + 389
m MON = 92 +28°
Find mZLOM:
SA
M
Pro
Do 4 problems
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-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

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.