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Find the average rate of change of the quadratic function f (x) over the interval -2 <= x <= 3.
Use the following table, which shows the values of the function for various values of x.

X | -3 | -2 | 2 | 3 |4
f(x) | 60 | 25 | -15 | 0 | 25

A. 7
B. -7
C. 5
D.-5​

Find The Average Rate Of Change Of The Quadratic Function F X Over The Interval 2 Lt X Lt 3Use The Following Table Which Shows The Values Of The Function For Va class=

Sagot :

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

from the table, we can simply get the values when x = -2 and x = 3, so we get  hmmmm the coordinates or values of (-2 , 25) and (3 , 0)

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{25})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{0}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{25}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-2)}}}\implies \cfrac{-25}{3+2}\implies \cfrac{-25}{5}\implies -5[/tex]

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