Question

Compare the equation, y = 9x - 4x2, the graph below, and the table below. Which has the steepest rate of change from x = 1 to x = 2, and what is its value?

Answer 1

find the slope between x = 1 and x = 2

so for the curve you need to find the y values, so substitute x = 1 and then x = 2

then slope is difference in y over difference in x

for the table you already have the ordered pairs (1, 2) and (2, 0)

so the slope is m = (2 - 0)/(1 - 2)

hope it helps