Graph g(x)=4^x-2. Give domain and range.

Question

tracyy · Answer

Can someone explain how to do this? I especially have trouble graphing the equation and finding range.

anonymous · Answer

Is your problem:
$$\huge 4^{x-2}$$
or
$$\huge 4^{x}-2$$

anonymous · Answer

equation*

tracyy · Answer

The first one.

anonymous · Answer

Well first, let's say if x was a really really really big number, what would y be? In this case, y=g(x).

anonymous · Answer

Would it be a really really really big number as well, OR would it be a really really really small number?

tracyy · Answer

It'd be both, right?

anonymous · Answer

Umm, I'm not trying to trick you or anything, it's a straight forward question. It's like a yes or no question, you can't say maybe...

anonymous · Answer

@tracyy are you there???

tracyy · Answer

Yes, sorry.

anonymous · Answer

Then could you please answer my question?

anonymous · Answer

Since you'e finding it had to visualise what my quesiton is. Let's make x=9999999. THat's a really big number right? SO:
$$g(x)=4^{9999999-2}$$ Would g(x) be a very big number?

anonymous · Answer

it hard*

tracyy · Answer

Yes, it would.

anonymous · Answer

Good, now you know that the curve would go upwards on the RHS of the graph like so:
|dw:1371866627588:dw|