Question

y=3x^2-24

Answer 1

what is it asking you to find?

Answer 2

what did you do @CGGURUMANJUNATH ?

Answer 3

trying to find the domain and range

Answer 4

ok hold on

Answer 5

@sdgrey1 i have to go but someone else is going to help you sorry.

Answer 6

Im guessing factor it.

Answer 7

So you want to find the largest number that you can divide out of both terms and the largest power of x you can divide out of both terms. Since only one ter, has an x, you can only factor out a number. So start off by factoring out the largest number that divides evenly into both terms.

Answer 8

ok i factored out 3 and got 3(x^2-8).but how do i find domain and range?

Answer 9

Oh, so you do need domain and range, I apologize.

Answer 10

Alright, well for domain, we need to exclude all values of x that make the function undefined. This means we need to avoid a negative square root or a 0 in the denominator. Is there any value of x that causes that to happen?

Answer 11

idk if my domain would be 24 or 8

Answer 12

Well, all we worried about is whether or not we have any x-values that make the function undefined. If we do not find any values of x that makes the function undefined, then the domain is all real numbers.

Answer 13

Method for finding the domain.

1. Assume all the real numbers work.
2. Find the ones that don't and discard them.
3. What's left is the domain.

Answer 14

Polynomials like this function have unrestricted domains. That is to say\[D=\mathbb{R} =(-\infty, \infty ) \]To find the range, consider the minimum and maximum values of the varialble part of the function. The least the variable part can be is zero, so the least the function can be is -24. That means the range is (-24, infty).

Answer 15

ok got it. thank you

Answer 16

No sweat. Do math every day.