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Mathematics 21 Online
Allison:

Given the function h(x)=x^2-7x+8h(x)=x 2 −7x+8, determine the average rate of change of the function over the interval 2≤x≤10.

Allison:

h(x)=x^2-7x+8h(x)=x

dude:

\(h(x)=x^2-7x+8\) Bet just substitute 2 and 10 like b4

Allison:

2^2-7(2)+8?

dude:

Yes (:

Allison:

10^2-7(10)+8?

dude:

Yes againe :)

Allison:

Tearing up rn

Allison:

I finally get math

dude:

Same bro, im proud :')

Allison:

:')

Allison:

-2 and 38

Allison:

-19 ?

dude:

So close on the process :( \(\dfrac{38--2}{10-2}\)

Allison:

5 o-o

dude:

Si

Allison:

Almost got it

dude:

Yes :)

Allison:

h(x)-x^2-9x+26 -6 ≤ x ≤ -1

Allison:

Would that make 6 positive

dude:

Are you asking about the domain? -6 <= x <= -1? That looks fine Or are you asking for answer check

Allison:

When plugging it in

dude:

The first one would remain negative, the second will be positive \(-(-6)^2-9(-6)+26\) \(-36+54+26\)

dude:

\(-(-1)^2-9(-1)+26\) \(-(-1)^2=-1\) \(-9(-1)=9\) \(-1+9+26\)

Allison:

34 and 44

dude:

Yes \(\dfrac{34-44}{-1--6}\)

Allison:

-2

dude:

Yes

Allison:

x^2+10x+21 -10 ≤ x ≤ -3

Allison:

-10^2+10(-10)+21 3^2+10(3)+21

dude:

\((-3)^2+10(-3)+21\)

Allison:

Yes negative

dude:

Yes good (:

Allison:

-179 and -18

Allison:

So -179-(-18)/-10-(-3)

dude:

Hmm I didn't get -179 and -18

Allison:

Bruh

dude:

\((-3)^{2}+10(-3)+21\) \(9-30+21\) \(-21+21\)

dude:

\(-10^2+10(-10)+21\) \(100-100+21\)

Allison:

0 and 21

dude:

Yeah

Allison:

Okay

dude:

\(\dfrac{0-21}{-3--10}\)

Allison:

Then what

Allison:

-3

dude:

Yes

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