Determine the function rule for the following input/output table. inputs
2
3
4
5
6
outputs
21
31
41
51
61

Every time the input goes up by 1 the output increases by 10.

Step-by-step explanation:

answer: 0+0=0

step-by-step explanation:

that is the only answer that can make 0

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.