Lesson 1-7
date
making a histogram
the table below shows the ages of the u. s. presidents at
the ages of the u. s. presidents at their inaugurations.
use the data to make a histogram. then use your histog
a histogram. then use your histogram to answer the question
ages of u. s.
at inaug
ages of u. s. presidents at inauguration
42 43 45 46 47 47 48 49 49 50 51
51 51 51 51 52 52 54 54 54 54 54
55 55 55 56 56 56 56 57 57 57 57
58 60 61 61 61 62 64 64 65 68 69
r& r
number of presidents
wa

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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.

step-by-step explanation: