Question

I need help graphing this equation please

Answer 1

\[f(x) = 2^{x}+3\]

Answer 2

I need to find the domain, range, and the equation of its asymptote.

Answer 3

I think the range would be all real numbers greater than 3? Not sure though. And not sure how to find the others.

Answer 4

http://www.wolframalpha.com/input/?i=f%28x%29%3D2%5Ex%2B3

Graph look like this.

Answer 5

domain is all real numbers because you can raise 2 to any power you like

Answer 6

range is \(3,\infty)\) because no matter what power your raise 2 to, it is a positive number, i.e. \(2^x>0\) and so \(2^x+3>3\)

Answer 7

i meant to write range is \((3,\infty)\)

Answer 8

so the horizontal asymptote is \(y=3\)

Answer 9

Thank you so much! (: That helped completely!