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Give the asymptote of the function

g(x)= 4 to the (x+5) -7

and

find the range of the function

g(x)= -2 to the (x) +4

2006-12-08 09:21:24 · 6 answers · asked by texastreasure 3 in Science & Mathematics Mathematics

6 answers

g(x) = 4^(x + 5) - 7

Since there is no restriction in the domain of the function, then there is no vertical asymptote. To get the horizontal asymptote, get the limit of the function as x approaches both infinities. If the limit is n, then the line y = n is a horizontal asymptote. Thus,
lim x-->∞ g(x) = ∞, but
lim x-->-∞ g(x) = -7,
so the line y = -7 is a horizontal asymptote of the function.

____________
g(x) = -2^x + 4

We know that this is an exponential curve going downward, so the range is from -∞ to a certain number, which, in this case, the limit at -∞. Thus,
lim x-->-∞ g(x) = 4,
so the range is from -∞ to 4 exclusive, or (-∞,4)

^_^

2006-12-08 15:00:21 · answer #1 · answered by kevin! 5 · 0 0

I would answer it, but something is wrong with the description to the question, are you saying G(x)= (x+5) -7, I am not understanding

2006-12-08 09:27:33 · answer #2 · answered by Zidane 3 · 0 0

g(x)= 4^(x+5) -7

asymptote is -7

g(x)= (-2)^x +4

-∞ < g(x) < ∞

2006-12-08 09:45:29 · answer #3 · answered by Helmut 7 · 0 0

go to hotmath.com and get the answer to the question

2006-12-08 09:27:18 · answer #4 · answered by Derrick 1 · 0 0

you need to fine what x = to then go from there

2006-12-08 09:25:27 · answer #5 · answered by Anonymous · 0 0

do your own homework

2006-12-08 09:22:41 · answer #6 · answered by kdesky3 2 · 0 1

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