Xaze
  • Xaze
Please help, Algebra II - Will Fan and Medal.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Xaze
  • Xaze
Compare the functions shown below:
Xaze
  • Xaze
1 Attachment
Xaze
  • Xaze
What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = -1 to x = 3?

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More answers

anonymous
  • anonymous
the rate of change of that line is a constant it is the slope do you know it?
Xaze
  • Xaze
@satellite73 Would 0.5/3 be the slope? I'm pretty bad at this, haha
Xaze
  • Xaze
Sorry, 1.5*/3
Astrophysics
  • Astrophysics
You have to find the slope of each function f(x), g(x), and h(x) \[A(x)= \frac{ f(b)-f(a) }{ b-a }\] this is the average rate of change |dw:1440377631421:dw|
Astrophysics
  • Astrophysics
So what is f(3) for f(x)?
Xaze
  • Xaze
f(3)=((3)+3)^2-2, am I doing okay, so far?
Astrophysics
  • Astrophysics
Yup, exactly!
Xaze
  • Xaze
f(3)=(9)^2-2 - > f(3)=81-2 -> 79?
Astrophysics
  • Astrophysics
Not quite, 3+3 = 6 :P
Xaze
  • Xaze
Oh whoops... I was thinking of multiplication, for some reason.. f(3)=(6)^2-2 -> f(3)=36-2 - > f(3)=34?
Astrophysics
  • Astrophysics
Yup that's good!
Astrophysics
  • Astrophysics
now find f(-1)
Xaze
  • Xaze
Yay! ^^
Astrophysics
  • Astrophysics
@satellite73 hey if you want to take an image and upload it on draw which is very useful check out this guide on how to do it http://openstudy.com/users/astrophysics#/updates/55921cb5e4b0c2028eab5952 it's really quick to get it and helpful :P
Xaze
  • Xaze
|dw:1440381614071:dw|
Astrophysics
  • Astrophysics
perfect now we have \[f(x) = \frac{ 34-2 }{ 3-(-1) }\]
Xaze
  • Xaze
\[f(x)=32/4?\]
Astrophysics
  • Astrophysics
Yes simplify it
Astrophysics
  • Astrophysics
I should say m = that not f(x) xD but same thing
Xaze
  • Xaze
16/2
Astrophysics
  • Astrophysics
m = 34/4 = 16/2 keep going
Xaze
  • Xaze
8/1
Astrophysics
  • Astrophysics
Yup m = 8 for f(x)
Astrophysics
  • Astrophysics
|dw:1440378413551:dw| what are these two points?
Astrophysics
  • Astrophysics
We're doing g(x) now
Xaze
  • Xaze
Computer is slowing down - sorry, sorry x-x The two points are (-1,-2) and (3,0)
Astrophysics
  • Astrophysics
Yup perfect, so use \[m = \frac{ y_2-y_1 }{ x_2-x_1 }\] to find the slope |dw:1440378607899:dw| this is what it means visually
Xaze
  • Xaze
All right... |dw:1440382384897:dw|
Astrophysics
  • Astrophysics
Yes! 1/2 is good
Astrophysics
  • Astrophysics
So we have slope for f(x) = 8, g(x) = 1/2, now lets find the slope for h(x)
Xaze
  • Xaze
Not sure how to find the slope for that one... doesn't seem to be in my notes
Astrophysics
  • Astrophysics
Just read the table and apply the formula
Astrophysics
  • Astrophysics
|dw:1440379170633:dw|
Xaze
  • Xaze
The formula \[m=y2-y1/x2-x1\]? Just making sure
Astrophysics
  • Astrophysics
yup
Xaze
  • Xaze
Okay, before I solve, how did you know to get (-1,14) and (3,62) from the chart? Or did you pick them randomly... and any pair you choose would give the same slope?
Astrophysics
  • Astrophysics
No, because your question is asking for the average rate of change from x = -1 to x = 3, but it doesn't really matter, you'll get the same slope for any two points
Xaze
  • Xaze
|dw:1440383049367:dw|
Astrophysics
  • Astrophysics
Yes! Now we have the slopes f(x) = 8, g(x) = 1/2 and h(x) = 12 now put it least to greatest and we're done
Xaze
  • Xaze
g(x),f(x), h(x)!
Astrophysics
  • Astrophysics
Looks good :)
Xaze
  • Xaze
Thanks so much, you're really a life-saver!
Astrophysics
  • Astrophysics
Yw :)
Xaze
  • Xaze
@Astrophysics, Do you think you can help with a few more? I'm almost finished with this test and I've got to get it submitted before midnight...
Astrophysics
  • Astrophysics
Oh this was a test...we can't help on tests sorry.

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