Use the information to answer the question. Paul's pencil is 4 inches long. Kristi's pencil is of an inch shorter than Paul's pencil. What is the length of Kristi's pencil? Move numbers to the boxes to show the answer. If there is no whole number, put a 0 in the first box . inches 0 3 3 4 5 7 II 17 24​

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.