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Help me out. The average rate of change of f from x=0 to x=4 is

Help Me Out The Average Rate Of Change Of F From X0 To X4 Is class=

Sagot :

Answer:

average rate of change = - [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

The average rate of change of 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 = 0 to x = 4 , with a = 0 and b = 4 , then

f(b) = f(4) = 0 ← point (4, 0 ) on graph

f(a) = f(0) = 5 ← point (0, 5 ) on graph

Then

average rate of change = [tex]\frac{0-5}{4-0}[/tex] = [tex]\frac{-5}{4}[/tex] = - [tex]\frac{5}{4}[/tex]

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