Theloshua
  • Theloshua
what is the average rate of change of the function y = x2 on the interval [2,5]?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
e.mccormick
  • e.mccormick
Know another name for average rate of change?
Theloshua
  • Theloshua
no...
e.mccormick
  • e.mccormick
Slope.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

e.mccormick
  • e.mccormick
Find the slope of the line with those given x values as the x pints and use the y=x^2 to find the y parts. (x, y=x^2) for the given [2,5] so x=2 and x=5.
Theloshua
  • Theloshua
huhn? lol
e.mccormick
  • e.mccormick
Average rate of change is the slope of the line defined by the end points of the sample. So for this sample range: |dw:1440119916280:dw|
e.mccormick
  • e.mccormick
THe slope of this line: |dw:1440119995741:dw|
Theloshua
  • Theloshua
omg lol can you pls just explain the formula and how to walk thru the steps>
e.mccormick
  • e.mccormick
Well, how do you get the slope of any line?
Theloshua
  • Theloshua
y1 + y2/x1 + x2?
e.mccormick
  • e.mccormick
Close. - (y1 - y2)/(x1 - x2) OR (y2 - y1)/(x2 - x1) Either will get the same answer.
Theloshua
  • Theloshua
okay, great so now what? :/
e.mccormick
  • e.mccormick
Well, you are given the domain [2,5]. Domain are x values. So that is your x1 and x2. You are given y = x^2. So use your x values to find your respective y values.
Theloshua
  • Theloshua
(2,4) and (5,10?)
e.mccormick
  • e.mccormick
is that 2x or x^2?
e.mccormick
  • e.mccormick
If it is 2x, then yes, it would be (5,10). But if it is x^2 (a parabola) then it would be (5, 25).
Theloshua
  • Theloshua
ohhhh pellet, your right... I knew that, silly mistake :p
Theloshua
  • Theloshua
so then I plug it in?
e.mccormick
  • e.mccormick
Hehe. Yah. It happens. OK: (2,4) (5,25) Yah, plug them in.
Theloshua
  • Theloshua
and it wud be 7?
e.mccormick
  • e.mccormick
Yep. (2,4) (5,25) 25-4/5-2 21/3 7 That is what I got too.
Theloshua
  • Theloshua
omg, you amazing beautiful person!!!! thnx soooo muchhhh ^-^ im now your fan :)
e.mccormick
  • e.mccormick
FYI: Instant change is the slope of the tangent line. So instant change is also a slope. Rates of changes can basically be seen as a slope one way or another. This can help people visualize them on a graph...

Looking for something else?

Not the answer you are looking for? Search for more explanations.