Free Printable 7.4 Day 1 - Amplitude & Period of Sine & Cosine Functions

1.

What is the amplitude of the cosine function shown in the graph?

a)

$1$

b)

$2$

c)

$\pi$

d)

$2\pi$

2.

What is the period of the cosine function shown in the graph?

a)

$1$

b)

$2$

c)

$\pi$

d)

$2\pi$

3.

What is the amplitude of the sine function shown in the graph?

a)

$8\pi$

b)

$2\pi$

c)

3

d)

6

4.

What is the period of the sine function shown in the graph?

a)

$8\pi$

b)

$2\pi$

c)

3

d)

6

5.

Write the function rule for the sine function in the form f(x) = Asin(Bx) if the function has an amplitude of 7 and a period of $\frac{2\pi}{3}$ .

a)

f(x) = 7sin(3x)

b)

f(x) = 7sin(4x)

c)

f(x) = 7sin(2x)

d)

f(x) = 5sin(3x)

6.

Write the function rule for the cosine function in the form f(x) = Acos(Bx) if the function has an amplitude of 12 and a period of $4\pi$ .

a)

$f(x)=8\cos\left(\frac{1}{4}x\right)$

b)

f(x) = 12cos(4x)

c)

f(x) = 10cos(2x)

d)

$f(x)=12\cos\left(\frac{1}{2}x\right)$

7.

What is the period of the sine function shown in the graph?

a)

2π

b)

4π

c)

3π

d)

π

8.

What is the amplitude of the sine function shown in the graph?

a)

-3

b)

3

c)

2

d)

-1

9.

What is the period of the cosine function shown in the graph?

a)

$4\pi$

b)

$2\pi$

c)

$\frac{\pi}{4}$

d)

$\frac{\pi}{2}$

10.

What is the amplitude of the cosine function shown in the graph?

a)

4

b)

2

c)

-3

d)

5

11.

Write the function rule for the cosine function in the form f(x) = Acos(Bx) if the function has an amplitude of 20 and a period of $4$ .

a)

$f\left(x\right)=20\cos\left(4x\right)$

b)

$f\left(x\right)=20\cos\left(\frac{1}{2}x\right)$

c)

$f\left(x\right)=20\cos\left(\frac{\pi}{2}x\right)$

d)

$f\left(x\right)=20\cos\left(\frac{\pi}{4}x\right)$

12.

Write the function rule for the sine function in the form f(x) = Asin(Bx) if the function has an amplitude of 5 and a period of $\frac{3\pi}{4}$ .

a)

$f(x)=5\sin\left(\frac{8}{3}x\right)$

b)

$f(x)=5\sin(6x)$

c)

$f(x)=5\sin\left(\frac{3\pi}{4}x\right)$

d)

$f(x)=5\sin\left(\frac{8\pi}{3}x\right)$

7.4 Day 1 - Amplitude & Period of Sine & Cosine Functions

Total questions: 12

Worksheet time: 6mins

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