Functions

JohnvC

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Joined
Aug 20, 2019
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1
If f(x) = x and g(x) = x-3
where 0 < f(x) and g(x) < 10
and both are an element of Natural numbers

1. Illistrate both graphs on the same set of Axes
2. How do the two graphs compare?
 
From posting guidelines: "Show some of your work or explain where you're stuck. Don't worry that your work might be wrong; learning is a process of making mistakes, so we want to check your efforts. If you've shown no work at all, some tutors may assume that you're needing help getting started and may suggest only a first step. Other tutors may wonder if you just want somebody to do your homework. Even if you're asking only about the very end of the solution process, still include intermediate steps. Errors may have occurred earlier than you'd realized; correcting part (b) may clear up your confusion on part (d). "
 
If f(x) = x and g(x) = x-3
where 0 < f(x) and g(x) < 10
and both are an element of Natural numbers

1. Illistrate both graphs on the same set of Axes
2. How do the two graphs compare?
Several points here may need clarification; the wording is odd, and that makes me wonder if you copied something wrong.

The second line is restricting the range of the functions; we usually restrict a function by stating the domain, but if you graph the two functions you can easily see what this means -- assuming you did quote it correctly, and they didn't mean something else.

The third line makes no sense, literally. A function is not an element of the set of natural numbers! And if we take it to mean that f(x) (that is, the output) is a natural number, then again they are restricting the range rather than the domain, though again that doesn't make things terribly hard. It's just odd.

So we'd like you to do whatever you are able to do about graphing the functions; even if you think you've missed something important, seing how you start the problem will tell us a lot about what you need. Please either attach an image of your graph, or tell us what you did so we can do the same thing ourselves.
 
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