U
Using the Zero Product Property
Warm-Up
Which are solutions of the equation (x + 5)(x-3) = 0? Check all that apply

=2x

Step-by-step explanation: 5x times -3x and get 2x the 5 is bigger than the 3 so it will be a positive.

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.