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Reply 1
There's a thread on this question somewhere, someone asked this yesterday.
was this from june 09?
Reply 3
Are you told what the equation for f(x) is, and are you given any other information in parts a and b?
Reply 4
BrightGirl
was this from june 09?



yeee
dee321
yeee


ahhh, i sat that paper! can't actually remember the answer to this question though, sorry :colondollar:
Reply 6
ttoby
Are you told what the equation for f(x) is, and are you given any other information in parts a and b?


here is the rest of the question
Reply 7
BrightGirl
ahhh, i sat that paper! can't actually remember the answer to this question though, sorry :colondollar:


i know the awnser which is x> -k but dont know why?
dee321
here is the rest of the question


the range is y > -k , as it's just the y = ex graph shifted down by k (it's now asymptotic to y = -k instead of y = 0).

range is always y, the domain is always x.

edit: well in this case, you could put it as f(x) > -k (which is still basically the same as y > -k)
Reply 9
For exponential functions the range is f(x)>0 since they approach but never touch the line y=0 ( the asymptote).

However, in this question you should apply transformation. It's shifted vertically by 'K' units in the negative direction.

Therefore, the new range will be f(x)>-k
Reply 10
FZka
For exponential functions the range is f(x)>0 since they approach but never touch the line y=0 ( the asymptote).

However, in this question you should apply transformation. It's shifted vertically by 'K' units in the negative direction.

Therefore, the new range will be f(x)>-k


thanks that made it clear
Reply 11
BrightGirl
the range is y > -k , as it's just the y = ex graph shifted down by k (it's now asymptotic to y = -k instead of y = 0).

range is always y, the domain is always x.

edit: well in this case, you could put it as f(x) > -k (which is still basically the same as y > -k)


thanks taht made it clear:yes: :yes:
Reply 12
dee321
thanks that made it clear


No worries. Good luck.
Reply 13
FZka
For exponential functions the range is f(x)>0 since they approach but never touch the line y=0 ( the asymptote).

However, in this question you should apply transformation. It's shifted vertically by 'K' units in the negative direction.

Therefore, the new range will be f(x)>-k


but what about the y values below -k as -8 will have an y value less than -k is taht so??
Reply 14
dee321
but what about the y values below -k as -8 will have an y value less than -k is taht so??


The range of a function is the set of values which y can take.

In this question we've found out that the range is f(x)>-k i.e. the function cannot take y values below -k.

-k is the new horizontal asymptote instead of the line y=0 (the x-axis)
Reply 15
FZka
The range of a function is the set of values which y can take.

In this question we've found out that the range is f(x)>-k i.e. the function cannot take y values below -k.

-k is the new horizontal asymptote instead of the line y=0 (the x-axis)


okkkk fully understand now thanks:smile: :smile:

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