Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 4 < x < 28.

d i think

step-by-step explanation:

yes

step-by-step explanation:

chicken nugget stir fry

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.