Question

The range of f(x) = -1/4 sin 4x is
(a) -1/4 ≤ y ≤ 0
(b) -1/4 ≤ y ≤ 1/4
(c) 0 ≤ y ≤1/4
(d) -1 ≤ y ≤ 1
(e) -4 ≤ y ≤ 4

Answer 1

the range of sine is \(-1\leq y\leq 1\) so what must the range of \(-\frac{1}{4}\sin(x)\) be ?

Answer 2

is it -1/4 ≤ y ≤ 1/4 ? i'm not sure

Answer 3

yes. u r right

Answer 4

but in the question there's a 4 in front of the x

Answer 5

sin4x

Answer 6

check this out

http://www.wolframalpha.com/input/?i=sin+x%2C+sin+4x

Answer 7

do u see the difference between sin x and sin 4x

Answer 8

yeah sin4x has a higher frequency ?

Answer 9

exactly. that's the only difference
both oscilate between -1 and 1, though.

Answer 10

so would the answer be (b) or (d) ?

Answer 11

(b)

Answer 12

ok thanks :)

Answer 13

u r w