Question

Question On the graph of $f(x) = \cos x$ and the domain $-2\pi \le x < 0$, for which of the following intervals is $f(x)$ strictly decreasing? Choose all correct answers. Select all that apply: $\left( -\frac{3\pi}{2}, -\frac{\pi}{2} \right)$ $(-2\pi, -\pi)$ $\left( -\pi, -\frac{\pi}{2} \right)$ $\left( -\frac{\pi}{2}, 0 \right)$

          Question
On the graph of $f(x) = \cos x$ and the domain $-2\pi \le x < 0$, for which of the following intervals is $f(x)$ strictly decreasing?
Choose all correct answers.
Select all that apply:
$\left( -\frac{3\pi}{2}, -\frac{\pi}{2} \right)$
$(-2\pi, -\pi)$
$\left( -\pi, -\frac{\pi}{2} \right)$
$\left( -\frac{\pi}{2}, 0 \right)$

Question
On the graph of f(x) = cos x and the domain -2π≤ x < 0, for which of the following intervals is f(x) strictly decreasing?
Choose all correct answers.
Select all that apply:
( -(3π)/(2), -(π)/(2))
(-2π, -π)
( -π, -(π)/(2))
( -(π)/(2), 0 )

Added by Daniel H.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Daniel Pyda

Step 1

We know that the cosine function has a period of 2π, which means that it repeats itself every 2π units. Also, we know that the cosine function has a maximum value of 1 and a minimum value of -1. Now, let's look at the given domain -2π < x < 2π. This means that we Show more…

Show all steps

Thanks for your feedback!

Question: On the graph of f(x) cos(x) and the domain -2Ï€ < x < Ï€, for which of the following intervals is f(x) strictly decreasing? Choose all correct answers: Select all that apply: (-2Ï€, -Ï€) (-2Ï€, -Ï€/8) (-Ï€, 0) (-Ï€/2, 0)