A student finds the slope of the line between (14, 1) and (18, 17). She writes . What mistake did she make? She mixed up the x- and y-values. She used y-values where she should have used x-values. She did not keep the order of the points the same in the numerator and the denominator. She should have added the values, not subtracted them.

She did not keep the order of the points the same in the numerator and the denominator.

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.

m

step-by-step explanation: