Question

Compare the equation, y=9x - 4x^2 , 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 y
-1 0
1 2
2 0
3 -4
B. equation, –3
C. table, -1/2
D. equation, -1/3

Answer 1

To make the rate of change the steepest possible, the leading coefficient needs to be a big number;

Answer 2

so then that would be the equation right

Answer 3

In this case, find the average change from 1 to 2 for each parabola.
\(\large y=9x - 4x^2\)
When x = 1, \(\large y=9(1) - 4(1)^2=9-4=5\)
When x = 2, \(\large y=9(2) - 4(2)^2=18-16=2\)

Answer 4

so the value would be -3

Answer 5

Um looks right :)

Answer 6

B)

Answer 7

thank you

Answer 8

To get the rate of change, simply take the average change, or the secant, if you need the instantaneous rate of change, then take the derivative of the function.

Answer 9

oh okay