Question 1

What is the period of this function?

Accepted Answer

$4\pi$

Answer

$\frac x{2}$

Answer

1

Answer

$2\pi$

Question 2

What is the equation of this function?

Accepted Answer

$y=\sin({2x})$

Answer

$y=\cos{(\frac x{2})}$

Answer

$y=\cos({2x})$

Answer

$y=\sin{(\frac x{2})}$

Question 3

What is the equation of this function?

Accepted Answer

$y=\sin{(\frac x{2})}$

Answer

$y=\cos{(\frac x{2})}$

Answer

$y=\cos({2x})$

Answer

$y=\sin({2x})$

Question 4

What is the period of the function $f(x)=-\sin({\frac {\pi x}{10}})+2$

Accepted Answer

$20$

Answer

$\frac {\pi }{10}$

Answer

$\frac {2\pi }{10}$

Answer

$\frac {\pi }{20}$

Question 5

What is the range of the function $f(x)=28.5\cos({\frac {\pi}{6}( x-3)})+20$ ?

Accepted Answer

$-8.5\le f(x) \le 48.5$

Answer

All real numbers.

Answer

$-28.5\le f(x) \le 28.5$

Answer

$-20\le f(x) \le 20$

Question 6

What is the period of the function $f(x)=28.5\cos({\frac {\pi}{6}( x-3)})+20$ ?

Accepted Answer

$12$

Answer

$\frac 1 3$

Answer

$\frac \pi 6$

Answer

$12\pi$

Question 7

What is the smallest positive value of $x$ for which the function $f(x)=28.5\cos({\frac {\pi}{6}( x-3)})+20$ has a maximum value?

Accepted Answer

$3$

Answer

$\frac \pi 6$

Answer

$9$

Answer

$0$

Question 8

What is the smallest positive value of $x$ for which the function $f(x)=28.5\cos({\frac {\pi}{6}( x-3)})+20$ has a minimum value?

Accepted Answer

$9$

Answer

$1$

Answer

$\frac \pi 6$

Answer

$3$

Question 9

Choose the equation of a sinusoidal function whose value oscillates between $-8$ and $2$.

Accepted Answer

$y=-3+5\sin(3x)$

Answer

$y=3-5\sin(3x)$

Answer

$y=-4+2\sin x$

Answer

$y=-2+4\sin(8x)$

Question 10

Choose the equation of a sinusoidal function whose period is $\pi$.

Accepted Answer

$y=3-5\cos(2x)$

Answer

$y=\frac 5 {8}\cos(\frac x{\pi})$

Answer

$y=5\cos(\frac x{2})$

Answer

$y=-\cos(\pi x)$

Question 11

Choose the equation of a sine function with a phase shift of $2$.

Accepted Answer

$y=-3+5\sin(x-2)$

Answer

$y=-4+2\sin x$

Answer

$y=2+\sin(8x)$

Answer

$y=3-\sin(2x)$

Question 12

Choose the equation of a sinusoidal function whose value oscillates between $-8$ and $2$.

Accepted Answer

$y=-3+5\sin(3x)$

Answer

$y=-4+2\sin x$

Answer

$y=3-5\sin(3x)$

Answer

$y=-2+4\sin(8x)$

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