Question

Identify the range of the equation y = -x2 - 12x + 3.
A:All real numbers
B:y ≤ 39
C:y ≥ −6
D:y ≤ −105

Answer 1

Hello there @mookieboo , Welcome to Openstudy :)

Answer 2

Thanks lol :)

Answer 3

As for your question, do you know how to start?

Answer 4

To be honest, I have no idea

Answer 5

So get an idea

Answer 6

....

Answer 7

Uri be nice :P
It's okay mookieboo, just ignore her xD

So first it would help if we got a quick sketch of the graph.

Answer 8

I'm a he? o_o
<--

Answer 9

So basically I would need a graph and know what the vertex is right?

Answer 10

Whatever you say :3

@mookieboo We are only finding the range of the graph, so the vertex would not matter

Answer 11

Do I need an equation for this?

Answer 12

Yes, it will help determine the range.

Answer 13

The domain and range of a function is pretty much the numbers the will work in the equation.

Answer 14

OH! okay lol I see what your saying. Thank you :)

Answer 15

Yup, so do you know the answer just by that hint? :P

Answer 16

I don't know the answer YET but I have an idea of what to do now lol

Answer 17

B! :P thanks

Answer 18

Hm, no it's not b

Answer 19

well I know it's not C

Answer 20

Think about it, if you plug any of those into the function, will you get an output?

Answer 21

so its A?

Answer 22

Yes, because no matter what number you plug in you will always get a result. So all numbers work.

Answer 23

:) thank you!

Answer 24

Yup :)

Answer 25

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