Question

for the function 3x squared - 1 is my range all real numbers

Answer 1

Nope. Think of it this way, if you plug in any number for x, it gets squared, right? Well will you ever get a negative number once x is squared? Basically, there's no possible way for it to be all real numbers.

Answer 2

As for what it actually is, have you learned about transformations?

Answer 3

Just learning now
So my domain would be all real and my range would be greater than or equal to zero?

Answer 4

Domain is all real, and your range is close. Not sure if you rather wait for the full explanation from your class about transformations or not, otherwise I can try and give a basic explanation. But even without the explanation, we can get this logically. So what is the lowest possible answer we can get out of 3x^2 by plugging in a value for x?

Answer 5

one

Answer 6

You could get 0. If x = 0 then 3x^2 = 0. Since x^2 is never negative, the lowest number you can get is 0. Well, then tack on the -1 at the end of your problem. Meaning your range actually starts from -1 and goes to infinity :3

Answer 7

That's the logic explanation, just don't wanna invade your brain with the transformation explanation if you're still waiting to learn that.

Answer 8

Ok so my range is greater than or equal to -1, the question just asks to state the domain and range