Compare 9 ⋅ 104 to 3 ⋅ 102. (4 points) a 9 ⋅ 104 is 3 times larger than 3 ⋅ 102. b 9 ⋅ 104 is 30 times larger than 3 ⋅ 102. c 9 ⋅ 104 is 300 times larger than 3 ⋅ 102. d 9 ⋅ 104 is 3,000 times larger than 3 ⋅ 102.

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.