1103076611
Level:
C
The graph shown in the picture is graph of the function:
\( f(x)=\sin|x| \)
\( f(x)=|\sin x| \)
\( f(x)=|\cos x| \)
\( f(x)=\cos|x| \)
Sine, cosine, tangent and cotangent
1103076610
Level:
C
The figure shows the graph of the function:
\( f(x)=\cos(-2x) \)
\( f(x)=-\cos 2x \)
\( f(x)=|\cos 2x| \)
\( f(x)=-|\cos 2x| \)
1103076609
Level:
B
Identify the function shown in the graph.
\( f(x)=-\sin\left(x + \frac{\pi}4 \right) \)
\( f(x)=-\sin\left(x -\frac{3\pi}4 \right) \)
\( f(x)=\cos\left(x + \frac{\pi}4\right) \)
\( f(x)=\sin\left(x - \frac{\pi}4\right) \)
1103076608
Level:
C
Identify the function shown in the graph.
\( f(x) = -\sin(-2x) \)
\( f(x) = -\sin 2x \)
\( f(x) = |\sin 2x| \)
\( f(x) = \sin|2x| \)
1003076607
Level:
B
If we reflect the graph of the function \( f(x) = \cos x \) over the \( x \)-axis, we get the graph of the function:
\( g(x) = -\cos x \)
\( g(x) =\sin x \)
\( g(x) =\cos x \)
\( g(x) = -\sin x \)
1003076606
Level:
B
The graph of the function \( g(x) = \cos x \) is identical with the graph of the function:
\( g(x) = \cos(-x) \)
\( g(x) = \sin(- x ) \)
\( g(x) = -\cos x \)
\( g(x)= -\sin x \)
1003076605
Level:
B
The graph of the function \( f(x)=\cos (-x) \) is identical with the graph of the function:
\( g(x) = \cos x \)
\( g(x) = \sin x \)
\( g(x) = -\cos x \)
\( g(x)=-\sin x \)
1003076604
Level:
B
The graph of the function \( f(x)=-\sin (-x) \) is identical with the graph of the function:
\( g(x)=\cos\left(x -\frac{\pi}2 \right) \)
\( g(x)=-\cos\left(x -\frac{\pi}2 \right) \)
\( g(x)=\cos\left(x +\frac{\pi}2 \right) \)
\( g(x)=-\sin x \)
1003076603
Level:
B
How many points of intersection has the graph of the function \( f(x)=- 2\sin2x \) with the \( x \)-axis on the interval \( [-2\pi; 2\pi] \)?
\( 9 \)
\( 8 \)
\( 10 \)
\( 11 \)
1003076602
Level:
B
How many \( x \)-intercepts has the graph of the function \( f(x)=\sin 3x \) on the interval \( [-\pi; 3\pi] \)?
\( 13 \)
\( 10 \)
\( 14 \)
\( 8 \)