The function f(x) = -2x(x – 1)(x – 2)(x + 2):
a) Has 4 zeros
b) Has a maximum
c) As x - - - > negative infinity, f(x) - - - > negative infinity
d) All of the above
2007-02-20 02:04:12 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
4 zeroes at 0, 1, 2, -2
polynomials have a max
as x gets moer negative, f(x) will remain negative
answer is d
2007-02-20 02:11:10 · answer #1 · answered by thatguy2007 2 · 0⤊ 0⤋
when x = 0, 1, 2 or -2 , then y will =0
(because multiplication with 0 equals 0).
so a is correct.
when X is increasing in the positive direction (say +3 or 4), y will be negative.
as X is negative y is positive, so B is wrong..
by definition of the question the answer must be a?
2007-02-20 10:16:07 · answer #2 · answered by chameleonGA 4 · 0⤊ 1⤋
All of the above. In fact it has two local maximums and one local minimum. Its four roots are -2,0,1,and 2.
2007-02-20 10:18:05 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
d
2007-02-20 10:17:25 · answer #4 · answered by ? 2 · 0⤊ 0⤋