The table shows a linear function. x -5 -4 -3 -2 -1 0 1 2 3
f(x) -11 -3 5 13 21 19 37 45 53
(a) Determine the difference of outputs of any two inputs that are 1 unit apart. Show your work.
(b) Determine the difference of outputs of any two inputs that are 2 units apart. Show your work.
(c) Determine the difference of outputs of any two inputs that are 3 units apart. Show your work.
(d) What do you notice about the ratios of the differences in the outputs to the input intervals? Explain your answer.