HEL Look at points C and D on the graph: A coordinate plane graph is shown. Point C is at negative 5 comma negative 1. Point D is at 0 comma 3. A segment connects the two points. What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (4 points)

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.