Section 8.1: Graphs of the Sine and Cosine Functions

What is the period of the function f(x) = sin(2x)?

• π

• 2π

• π/2

• 4π

Tags

CCSS.HSF.TF.A.4

Which function is an example of a sinusoidal function?

• y = Alog(Bx)

• y = A/Bx + C

• y = Ax^2 + Bx + C

• y = Asin(Bx - C) + D

Tags

CCSS.HSF.TF.A.4

What is the amplitude of the function f(x) = -4sin(x)?

• 0

• 4

• 1

• -4

Tags

CCSS.HSF-IF.C.7E

What does the 'B' variable represent in the sinusoidal function formula y = Asin(Bx - C) + D?

• Horizontal stretch/compression factor

• Vertical shift

• Phase shift

• Amplitude

Tags

CCSS.HSF-IF.C.7E

What is the phase shift of the function f(x) = sin(x + π/6) - 2?

• π/6 units to the left

• No phase shift

• π/6 units to the right

• π/2 units to the left

Tags

CCSS.HSF-IF.C.7E

Which property describes the symmetry of the sine function?

• Odd function

• Even function

• Periodic function

• Neither odd nor even

What is the range of the sine and cosine functions?

• [0, ∞]

• (-∞, ∞)

• [0, 1]

• [-1, 1]

Tags

CCSS.HSF-IF.C.7E

How is the vertical shift represented in the general sinusoidal function formula y = Asin(Bx - C) + D?

• By D

• By C

• By A

• By B

Tags

CCSS.HSF-IF.C.7E

What is the effect of a negative 'A' value in the sinusoidal function formula on the graph?

• Vertical stretch

• Reflection across the y-axis

• Horizontal shift

• Reflection across the x-axis

Tags

CCSS.HSF-IF.C.7E

What is the period of the function f(x) = cos(πx/2)?

• 2

• π

• 2π

• 4

Tags

CCSS.HSF.TF.A.4