SOLUTION: 7. Graph {{{f(x) = 3^x}}} and it's inverse on the same set of coordinate axes. Label all units, intercepts, and asymptotes. Determine the domain and range of each function.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 7. Graph {{{f(x) = 3^x}}} and it's inverse on the same set of coordinate axes. Label all units, intercepts, and asymptotes. Determine the domain and range of each function.      Log On


   

Question 113822: 7. Graph f%28x%29+=+3%5Ex and it's inverse on the same set of coordinate axes. Label all units, intercepts, and asymptotes. Determine the domain and range of each function.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+3%5Ex%2C+log%283%2Cx%29%29+ Graph of 3%5Ex (red) and it's inverse log%283%2C%28x%29%29 (green)


So we can see from the graph of 3%5Ex we can see...

f:

Domain: all real numbers,

Range=,

Asymptotes: no vertical, horizontal at y=0

Intercepts: x-int=none, y-int=(0,1)



And we can see from the graph of log%283%2C%28x%29%29 we can see...

f%5E%28-1%29:

Domain: ,

Range=all real numbers,

Asymptotes: vertical at x=0, no horizontal,

Intercepts: x-int=(1,0) y-int=none


Notice how everything switched from the graphs f to f%5E%28-1%29