-14 -1 -4 - 14 A
1
Which point is located at
3. Я
(-)?
А
В
В
УА
D
4
0
0 0 0 0
4 4 4
1 1A
D
-4
с
-14

3.R there is were the point is located

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.