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 2 years ago
Graph y = 5x and y = log5x 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 yintercept of each function and any asymptotes of each function. (4 points)
Help? Explanation too please.
 2 years ago
Graph y = 5x and y = log5x 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 yintercept of each function and any asymptotes of each function. (4 points) Help? Explanation too please.

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NotSObright
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1356123961532:dw

agent0smith
 2 years ago
Best ResponseYou've already chosen the best response.3Just enter a few xvalues (something like 2, 1, 0, 1, 2) and find the corresponding yvalue and sketch the graph. It should look like the attachment. Domain is all the valid xvalues, range is all the valid yvalues. logx is only defined for x>0, so it's domain is x>0. It's range is all real yvalues. It has a vertical asymptote at x=0. 5^x has a domain of all real xvalues, but it's range is limited to y>0. It has a horizontal asymptote at y=0. It will come in handy to remember this: Exponential functions (like 5^x) will have a *domain* of all real xvalues. Logarithmic functions (like log5x) will have a *range* of all real yvalues.

rosedewittbukater
 2 years ago
Best ResponseYou've already chosen the best response.0I did what you said and then graphed the inverse of the first function. Thank you and that tip was very helpful.

agent0smith
 2 years ago
Best ResponseYou've already chosen the best response.3You're welcome :) If you're allowed to bring notes into your test, that's a good one to have on there. Just something short, like: Exponential functions  domain: all real x. Logarithmic functions  range: all real y.
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