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hahaha, what in the world?? This is an actual online question? Did a 5 year old draw the function? 0_o
Hahah i know this is the whole test a bunch of graphs drawn by 5 year olds
I'll draw some examples.|dw:1449781756195:dw|
Which one does it sort of look like?
Good good good.
The inverse function would be the curve `reflected across the line y=x`. Reflected across this dotted line.|dw:1449781953041:dw|Can you visualize it? You'll end up with one of those other three options when you reflect it.
I dont get the 2nd question it looks just like the 1st one?
They didn't actually do the work and graph the inverse for you.
I drew the dotted line to show that we're flipping our function across that line.
Oh so the 2nd one is C then?
|dw:1449782141549:dw|Good good good :) The reflection looks like this, which is our logarithmic function.
Boy this one is pretty ambiguous. It's difficult to know what they mean by "values". Generally speaking, we care about the x-coordinates that we're allowed to plug into the function. We call the set of those x-coordinates our `domain`. See the dotted line at x=-1? That is showing us that the function has asymptotic behavior at x=-1, so it's excluded. But we also have a horizontal asymptote at y=1. It's a poorly written question. If I had to guess, I would go with b, and hope that they're talking about the excluded x values.
Oh option C doesn't make sense anyway :) So yes, that helps determine that B is the answer.
wouldnt it be negative because the line is going down in the middle
The leading coefficient tells us about the `end behavior`, it doesn't necessarily tell us what is happening in the middle.
See how both "ends" are going UP?
(Both arrows pointing up)
yes i do
positive, yes :)