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
To make the rate of change the steepest possible, the leading coefficient needs to be a big number;
so then that would be the equation right
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, \(\large y=9(2) - 4(2)^2=18-16=2\)
so the value would be -3
Um looks right :)
B)
thank you
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.
oh okay
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