Mathematics
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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.
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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?
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dude:
Yes againe :)
Allison:
Tearing up rn
Allison:
I finally get math
dude:
Same bro, im proud :')
Allison:
:')
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Allison:
-2 and 38
Allison:
-19 ?
dude:
So close on the process :(
\(\dfrac{38--2}{10-2}\)
Allison:
5 o-o
dude:
Si
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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
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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
\(\dfrac{34-44}{-1--6}\)
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Allison:
-2
dude:
Yes
Allison:
x^2+10x+21
-10 ≤ x ≤ -3
Allison:
-10^2+10(-10)+21
3^2+10(3)+21
dude:
\((-3)^2+10(-3)+21\)
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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
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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
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Allison:
Okay
dude:
\(\dfrac{0-21}{-3--10}\)
Allison:
Then what
Allison:
-3
dude:
Yes