Algebra

posted by Mitch n' Joey

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.
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!!

  1. Steve

    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.

  2. Mitch n' Joey

    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?

  3. Steve

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

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

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