Graph y=5^x and y=log_5 x on a sheet of paper using the same set of axes. Use the graph to describe the domain and range of each function. Then identify the y-intercept of each function and any asymptotes of each function.

Question

So far I have:
Y=5^x :
D: ??
R: y>0
Y-intercept: 1
Asymptotes: y=0
__________________________________
Y=log_5 x :
D:??
R:??
Y-intercept: none
Asymptotes: x=0

can anyone tell me if this is correct? Or help me find out how to do the other parts that I was not able to find out? Thank you so much!!

Answer 1

the domain of all exponentials is (-∞,∞)
and the range is (0,∞)

For logs, they are reversed, since it is the inverse function.

exponentials all pass through (0,1)
logs all pass through (1,0)

your asymptotes are also correct.

Answer 2

So for the first one:
Domain: (-∞,∞)
Range: (0,∞)
Y-intercept: 1

and for the second one:
Domain: (∞,-∞)
Range: (∞,0)
Y-intercept: -1

this is what I understood from your response?

Answer 3

No, for logs, you have
Domain: (0,∞)
Range: (-∞,∞)
x-intercept: 1

Take a look at the graphs, fer pete's sake!

Answer 4

yeah! for my sake!

Answer 5

why not my sake? >:(