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? x-1,1,2,3 y 0,2,0,-4

A. graph, –1 B. table, -1/2 C. equation, –3 D. equation, -1/3

Answer 1

The correct answer to this question is C. equation, –3

The equation is
y = 9x - 4x^2
y = -4x^2 + 9x
y = -x(4x - 9)

The steepest rate of change from x = 1 to x =2

x = -1 ; y = 0
x = 1 ; y = 2
x = 2 ; y = 0
x =3 ; y = -4

So, based from the table show, the steepest rate of change is C. equation, –3