From the table shown: a) Describe in words the pattern relationship.
b) Write a rule to describe the pattern shown.
c) If the table had an input of 7, what would be the output?
d) If the table had an output of 31, what would be the input?

"a" determine whether sage found the correct quotient. show your work

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.