Asked by Rose

is this function - y=3^x open up or down? is it a vertical stretch or compression?

Answers

Answered by Steve
I answered this on Friday. See the related questions below.

Was there something unclear?
Answered by Rose
yes, about the vertical compression and strecth
Answered by Rose
and how the range is y>0
Answered by Steve
if x>0, 3^x > 1
if x<0, 3^x is between 0 and 1.
There is no value of x that will produce a negative result.

As for the stretch, I have to ask again, compared to what?
3^x is stretched when compared to 2^x, but it is compressed when compared to 4^x.
Answered by Steve
Hmmm. ACtually, on the stretch, I'd gave to say neither.

a^x passes through (0,1) for any value of a. So there can be no vertical scale factor. The stretch/compression is reversed as you cross the y-axis.
Answered by Rose
i don't understand. its fine
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