anonymous
  • anonymous
On which of the following intervals is the function f(x) = 4 cos(2x − π) decreasing? x = pi over 2 to x = π x = 0 to x = pi over 2 x = pi over 2 to x = 3 pi over 2 x = π to x = 3 pi over 2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@Loser66
anonymous
  • anonymous
@IrishBoy123
anonymous
  • anonymous
is it C?

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Loser66
  • Loser66
How can you get it?
anonymous
  • anonymous
graphing I guess?
Loser66
  • Loser66
ok, let see, you choose c, it means [pi/2, 3pi/2] now plug into the original one at x = pi/2, 4 cos (2x -pi ) = 4 cos ( 2(pi/2) -pi) = 4 cos 0 = 4 next is x = 3pi/2, 4 cos (2x - pi) = 4 cos (3pi -pi) = 4 cos (2pi) = 4. Now, a point between them: I pick pi 4cos (2x -pi) = 4 cos (2pi - pi) = 4 cos pi = -4 now you see. |dw:1446670072490:dw|
Loser66
  • Loser66
but at pi it is -4, hence it must be down from 4 to -4 |dw:1446670204359:dw|
Loser66
  • Loser66
But your question is about the interval the graph is down only. Hence C is not the correct answer
anonymous
  • anonymous
oh okay. Hmm
anonymous
  • anonymous
Then it would be A?
Loser66
  • Loser66
yes
anonymous
  • anonymous
thank-you:) so much!

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