# Questions on Amplitude, Period, range and Phase Shift of Trigonometric Functions

Multiple choice questions on determining the amplitude, period, range and phase shift of trigonometric functions with answers at the bottom of the page.

## Questions with Answers

### Question 1

Ifa) 1

b) -1

c) π

d) 2π

### Question 2

What is the period of the trigonometric function given bya) π / 5

b) 2 π / 5

c) 5 π

d) π

### Question 3

What is the amplitude of the functiona) 3

b) -3

c) π

d) 2

### Question 4

Which of the following functions has the greatest period?a) f(x) = 20 sin(2x-π/2)

b) f(x) = - sin(πx)

c) f(x) = 2 sin(0.1 x)

d) f(x) = - sin(0.1 π x)

### Question 5

What is the range of the functiona) (0 , 4)

b) [0 , 4]

c) (-4 , 4)

d) [-4 , 4]

### Question 6

What is the phase shift of the functiona) π / 3

b) π / 6

c) - π / 6

d) - π / 3

### Question 7

What is the range of the functiona) [-6 , 6]

b) [-4 , 8]

c) [0 , 8]

d) [-6 , 0]

### Question 8

What is the amplitude ofa) 4

b) 3

c) 2

d) 1

### Question 9

What is the period ofa) 0.5

b) 2 π

c) π / 2

d) π

### Question 10

What is the amplitude ofa) √2

b) √2 / 2

c) 2 √2

d) 2

### Ansers to the Above Questions

- a)
- b)
- a)
- c)
- d)
- b)
- b)
- c)
- d)
- a)