Question: Please answer and show work for all questions except 2B 1.) For the function g(x) given in the table below, calculate the average rate of

Please answer and show work for all questions except 2B

1.) For the function g(x) given in the table below, calculate the average rate of change for each of the following intervals. X -3 -1 4 6 9 g x 8 -2 13 12 (a) -35x5-1 (b) -15x56 (c) -35x59 (d) Explain how you can tell from the answers in (a) through (c) that this is not a table that represents a linear function. 2) Write the equation of the secant line on the given interval. a. v(1) =1' -1; [-2,2] b. f (x) = - x+2 3) Compute the average rate of change from 4) Which has a greater average rate of change A to B, from B to C and from A to C. Which over the interval -2 S x S 4, the function one gives the smallest average rate of change? g(x) =16.x -3 or the function f(x) = 2x' ? Provide justification for your answer. 12 C(8, 10) of B(4, 8) A(2.5) 12
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