Find the areas of the
trapezoids.

A = 3(½(1 + 4)) = 7.5 units²

Step-by-step explanation:

area of a trapezoid is the average of the bases times the height.

h = -1 - (-4) = 3

base1 TR = 0 - (-1) = 1

base2 PA = 2 - (-2)) = 4

1,918

step-by-step explanation:

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.