answersLogoWhite

0

y = -x2 + 1

This function describes a parabola that opens downward. To find the top of it's range, you need to find it's focal point. You can do that very easily by taking the derivative of the equation and solving it for 0:

y = -x2 + 1

∴ y' = -2x

let y' = 0:

0 = -2x

∴ x = 0

Now you can calculate the y value at that point:

y = -02 + 1

∴ y = 1

So that function describes an upside down parabola whose peak is at the point {0, 1}. It's range then is:

{y | y ∈ ℜ, y ≤ 1}

User Avatar

Wiki User

15y ago

Still curious? Ask our experts.

Chat with our AI personalities

JudyJudy
Simplicity is my specialty.
Chat with Judy
ReneRene
Change my mind. I dare you.
Chat with Rene
RossRoss
Every question is just a happy little opportunity.
Chat with Ross

Add your answer:

Earn +20 pts
Q: What is the range of the function y equals -x2 plus 1?
Write your answer...
Submit
Still have questions?
magnify glass
imp