anonymous
  • anonymous
Find the average rate of change of the function y = x^2 - 3x + 5 over the interval [-1,3]
Mathematics
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

amistre64
  • amistre64
\[\frac{f(3)-f(-1)}{3--1}\]
amistre64
  • amistre64
hopefully, you know what f(3) and f(-1) mean :)
amistre64
  • amistre64
f(3) = 3^2 - 3(3) + 5 = 5 f(-1) = (-1)^2 -3(-1) + 5 = 10

Looking for something else?

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

More answers

amistre64
  • amistre64
5 - 10 ----- = avg rate of change 4
amistre64
  • amistre64
3+1 = 4 + 5 = 9 , not 10
amistre64
  • amistre64
sooo close lol
amistre64
  • amistre64
5-9 ---- = -1 then :) 4
anonymous
  • anonymous
yes, thank you it is the derivative of b minus deriv of a, all over function b - function a
anonymous
  • anonymous
right...
amistre64
  • amistre64
derivatives are instantaneous rates of change; average rates are just last - first divided by well, b-a
amistre64
  • amistre64
i wonder if derivs work out as well 2x-3; 2-3 = -1 , 6-3 = 3 -1-3 ---- = -1 hmmm, might be on to something there 3+1
myininaya
  • myininaya
you are just looking for the slope of the secant line that lies on the curve y=x^2-3x+5 touching the two points (-1,f(-1)) and (3,f(3))
amistre64
  • amistre64
nope, 2(-1)-3 = -5
myininaya
  • myininaya
so basically you learn how to find average rate of change in algebra
myininaya
  • myininaya
its just the slope of a line
amistre64
  • amistre64
farm says I shouldnt harass you for your banning techniques :)
myininaya
  • myininaya
shhh i will accidentlly ban you
amistre64
  • amistre64
:) practice makes perfect
anonymous
  • anonymous
wait, i am confused a little bit, what do i do in simple steps to solve this?
amistre64
  • amistre64
(3^2-3(3)+5) - ((-1)^2-3(-1)+5) ----------------------------- 3-(-1)
amistre64
  • amistre64
|dw:1327862346587:dw|
anonymous
  • anonymous
that is equal to -1 right
amistre64
  • amistre64
the avg rate of change is just the slope of the line between 2 points
amistre64
  • amistre64
the instant rate of change is the slope of the tangent line to the curve at a point; also known as the derivative
anonymous
  • anonymous
okay, i'm good
amistre64
  • amistre64
yay!! :)

Looking for something else?

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