Please help! Is it [4,infinity) My teacher has written its is (0,4]
2007-12-26 06:25:40 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
f(0) = 4
f(inf) = 8/ inf = 0 not inf.
so your teacher is right.
2007-12-26 06:29:19 · answer #1 · answered by norman 7 · 0⤊ 0⤋
At x = 0, f = 8/2 = 4
At x = infinity, f = 8/infinity = 0
In between, f(x) is monotonic, so there are no positive or negative peaks.
The range is (0, 4].
The only way to make f(x) = infinity is for x to equal -2. But that's not part of the domain.
2007-12-26 06:31:59 · answer #2 · answered by morningfoxnorth 6 · 0⤊ 0⤋
but the domain cant be as stated as x cannot equal -2.
over the domain of [0,infinity) it will include 4 so square bracket.
2007-12-26 06:35:20 · answer #3 · answered by a c 7 · 0⤊ 0⤋
f^-1(x) = (8/x) - 2
This is not defined when x = 0.
But since domain of x is [0,infinity) so f(x) can attain max value 4 when x = 0.
So range of f(x) is (0,4).
2007-12-26 06:31:46 · answer #4 · answered by psbhowmick 6 · 0⤊ 0⤋
your teacher is right .
2007-12-26 06:31:27 · answer #5 · answered by Anonymous · 0⤊ 0⤋