I will reward points

C

Step-by-step explanation:

slope is the change of y / change of x

.

we can pick any points and find the changes in y and x

lets pick (0 , 0) and (5 , 6) .

the change of y = 6-0 = 6.

the change of x = 5-0 = 5.

so the slope of the line is 6/5

.

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.

its a trick question

step-by-step explanation:

dogs love water, just turn on the hose and it will run in circles chasing the water all day : )