2007-05-25 12:46:23 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
It depends on the coefficient of the second term.
Write p(x) = 6x^4 - x^k + 6
Then the leading coefficient is 6 if k<4, or -1 if k>4, or 5 if k=4.
The degree of the polynomial is max(k,4).
And the behaviour again depends on k, although I won't go into detail of all the cases, since I suspect you know what k is!
2007-05-25 13:34:06 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Duh!!................The leading coefficient is 6 and the degree is 4. And at the right and left limits, it becomes large positive without bound (that's haw a mathematician would say it. Your teacher probably wants some BS like 'it goes to +â' âº)
Doug
2007-05-25 12:54:22 · answer #2 · answered by doug_donaghue 7 · 0⤊ 0⤋
lc = + degree is even so x-> + 8 f[x] -> + 8 and x -> - 8 f[x] -> + 8 [8 is the infinity symbol ]
2007-05-25 13:41:25 · answer #3 · answered by bigennice5 1 · 0⤊ 0⤋
Your question is ambiguous. What do you mean by:
x^+6
2007-05-25 12:51:35 · answer #4 · answered by Northstar 7 · 0⤊ 0⤋
6
4
falls left, rises right
2007-05-25 12:49:06 · answer #5 · answered by richardwptljc 6 · 0⤊ 0⤋