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amyna
 one year ago
1) e^x has domain all real numbers = true why??
2) e^x has range all real numbers = false why??
can someone please explain why the above is true and the other is false? i need to explain why
amyna
 one year ago
1) e^x has domain all real numbers = true why?? 2) e^x has range all real numbers = false why?? can someone please explain why the above is true and the other is false? i need to explain why

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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Do you understand why 1) is true? We can work out why 2) is false, but do you understand 1)? Domain is the x values that we're allowed to plug into the function.

amyna
 one year ago
Best ResponseYou've already chosen the best response.0yes, i forgot domain were the x values lol

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1For the outputs, the y values, the range, just try plugging in some values to get an idea of what is going on.dw:1444275760273:dw

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1When I plug in negative x's, the function is blowing up real fast. So the range certainly contains all of the positive numbers 1 and above. But it looks like something it happening at zero, ya?

amyna
 one year ago
Best ResponseYou've already chosen the best response.0yes, but how should i word my explanation for both?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Ok umm I remember a problem you did a while back with monotonicity, ya? Maybe we can apply that idea here. Say something about the fact that the function is monotonically decreasing, and \(\large\rm \lim\limits_{x\to\infty}e^{x}=0\) So since the function is decreasing, and doesn't diverge to negative infinity, it's doesn't include all of the real numbers for the range.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1I dunno, just an idea ^

amyna
 one year ago
Best ResponseYou've already chosen the best response.0alrighty ! i'll come up with something eventually! Thank you! :)
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