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Mathematics 50 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

OpenStudy (zepp):

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

OpenStudy (anonymous):

so then that would be the equation right

OpenStudy (zepp):

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, \(\large y=9(2) - 4(2)^2=18-16=2\)

OpenStudy (anonymous):

so the value would be -3

OpenStudy (zepp):

Um looks right :)

OpenStudy (zepp):

B)

OpenStudy (anonymous):

thank you

OpenStudy (zepp):

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.

OpenStudy (anonymous):

oh okay

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