Free Printable Periodic functions

1.

The period of a function is

a)

how long one cycle is before the function repeats

b)

how high and low the function goes from the center line

c)

the range of the function

2.

Is this function periodic?

a)

Yes

b)

No

3.

What is the period of the function?

a)

6

b)

3

c)

2

d)

4

4.

Amplitude refers to....

a)

how high and low the function varies from the center line.

b)

the length of the function

c)

how often the function repeats

5.

What is the correct formula to find the Amplitude?

a)

$\frac{\max\ -\ \min}{2}$

b)

$\frac{\min\ -\ \max}{2}$

c)

$\frac{\max\ +\ \min}{2}$

6.

What is the amplitude of the function?

a)

2

b)

1

c)

3

d)

5

7.

What is the amplitude of the graph?

a)

3

b)

2

c)

-3

d)

-2

8.

a)

sine function

b)

cosine function

9.

a)

sine function

b)

cosine function

10.

Where does the graph of y=sin(x) begin its first cycle?

a)

(0,0)

b)

(a,0)

c)

$\left(0,\ \pi\right)$

d)

$\left(1,\ \pi\right)$

11.

Where does the graph of the cosine function $y=a\cdot\cos x$ begin?

a)

(0, 0)

b)

(0, a)

c)

$\left(0,\ \pi\right)$

d)

$\left(1,\ \pi\right)$

12.

The period of $y=a\cdot\sin\left(b\left(x-c\right)\right)+d$ can be found by ....

a)

It's always 2π

b)

2π/b

c)

b(2π)

d)

2π+b

13.

What is the period of this equation?
y = -5sin(3x)

a)

-5

b)

2 $\pi$ /3

c)

2 $\pi$ /5

d)

3

14.

What is the period of y = 4cos(2(x -1))?

a)

4π

b)

π

c)

2π

d)

π/2

15.

Find the period of y= -3sin(x).

a)

π

b)

2π

c)

3π

d)

4π

16.

Find the period of y=4cos5x.

a)

2π/5

b)

π

c)

5

d)

5π

17.

What is the period for

y = 4 cos(x +π) - 2?

(Define your transformations first (a,b,c,d), and then determine which one of your answer choices matches the transformation for this function )

a)

2

b)

-2

c)

$2\pi$

d)

$\pi$

18.

What is the amplitude for y = 4 cos(x +π) - 2? (Define your transformations first (a,b,c,d), and then determine which one of your answer choices matches the transformation for this function.)

a)

4

b)

-4

c)

$2\pi$

d)

$\pi$

e)

-2

19.

Determine the amplitude of y = 3sin (7x) -2.

a)

7

b)

-2

c)

3

d)

6

20.

What is the vertical shift for

y = 4 cos(x +π) - 2?

(Define your transformations first (a,b,c,d), and then determine which one of your answer choices matches the transformation for this function )

a)

up 2

b)

left 2

c)

right 2

d)

down 2

21.

a)

f(x) = 3 sin x

b)

f(x) = 3 cos x

c)

f(x) = sin (⅓ x)

d)

f(x) = cos (⅓ x)

22.

Which function represents the graph?

a)

f(x) = 3 sin x

b)

f(x) = 3 cos x

c)

f(x) = sin ( ⅓ x)

d)

f(x) = sin (3 x)

23.

What is the equation of graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

24.

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

a)

y=6sin(8x)

b)

y=6sin8(x-1)

c)

y=6sin1/4x

d)

y=6sinx

25.

a)

$y=4\sin\ \frac{\theta}{2}$

b)

$y=4\sin2\theta$

c)

$y=4\sin\theta$

d)

$y=4\sin3\theta$

Periodic functions

Total questions: 25

Worksheet time: 47mins

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