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What is the average rate of change for this quadratic function for the interval from x=1 to x=3

What Is The Average Rate Of Change For This Quadratic Function For The Interval From X1 To X3 class=

Sagot :

Answer:

average rate of change = - 4

Step-by-step explanation:

The average rate of change of y = f(x) in the interval x = a to x = b is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here the interval is x = 1 to x = 3 , then

f(b) = f(3) = - 8 ← point (3, - 8 ) on graph

f(a) = f(1) = 0 ← point (1, 0 ) on graph , then

average rate of change = [tex]\frac{-8-0}{3-1}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4

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