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

Question If y = cos x, then what is the maximum value of y?
a) 1
b) 1
c) π
d) 2π

Question What is the period of the trigonometric function given by f(x) = 2 sin(5 x)?
a) π / 5
b) 2 π / 5
c) 5 π
d) π

Question What is the amplitude of the function f(x) = 3cos(πx)?
a) 3
b) 3
c) π
d) 2

Question Which of the following functions has the greatest period?
a) f(x) = 20 sin(2xπ/2)
b) f(x) =  sin(πx)
c) f(x) = 2 sin(0.1 x)
d) f(x) =  sin(0.1 π x)

Question What is the range of the function f(x) =  4 cos(2x  3)?
a) (0 , 4)
b) [0 , 4]
c) (4 , 4)
d) [4 , 4]

Question What is the phase shift of the function f(x) = 7sin(2x  π / 3)?
a) π / 3
b) π / 6
c)  π / 6
d)  π / 3

Question What is the range of the function f(x) =  6 cos(π x  π/2) + 2?
a) [6 , 6]
b) [4 , 8]
c) [0 , 8]
d) [6 , 0]

Question What is the amplitude of f(x) = 4 sin(x) cos(x)?
a) 4
b) 3
c) 2
d) 1

Question What is the period of f(x) = 0.5 sin(x) cos(x)?
a) 0.5
b) 2 π
c) π / 2
d) π

Question What is the amplitude of f(x) = sin(x) + cos(x)?
a) √2
b) √2 / 2
c) 2 √2
d) 2