average rate of change f(x)=3x^3-5x+1, 2<= x<=5

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

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∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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average rate of change f(x)=3x³−5x+1, 2≤ x≤ 5

Solution

112

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Average rate of change definition

The average rate of change of a function f(x) on an interval [a,b] is given by
A(x)=f(b)−f(a)b−a

=f(5)−f(2)5−2

f(2)=15

f(5)=351

=351−155−2

351−155−2 =112

The average rate of change is:

=112

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

average rate of change f(x)=3x^3-5x+1, 2<= x<=5

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