Graphs of Sine and Cosine Functions

What is the domain and range of y=sinx?

• D: (-∞, ∞)
  R: [-1, 1]
  
• D: (-∞, ∞)
  R: [-π, π]
• D: (∞, -∞)
  R: [1, -1]
  
• D: (-∞, ∞)
  R: [-∞, ∞]
  

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSF.TF.A.2

Describe the shift: cos(x-(π/4))

• Up π

• Down (π/4)

• Left (π/4)

• Right (π/4)

Tags

CCSS.HSF-IF.C.7E

Describe the shift: cos(x+2π) - 5

• Up 5

• Down 5

• Left 2π

• Right 2π

Tags

CCSS.HSF-IF.C.7E

What is the phase shift of f(x) = 3cos(2x-π) ?

• Down by π/2

• Left by π/2

• Right by π/2

• Right by 2π

Tags

CCSS.HSF-IF.C.7E

What is the amplitude of this function?

• 2
• 2π
• -2
• 1

Tags

CCSS.HSF-IF.C.7E

Which function represents the graph?

• f(x) = 3 sin x
• f(x) = 3 cos x
• f(x) = sin ( ⅓ x)
• f(x) = sin (3 x)

Tags

CCSS.HSF-IF.C.7E

Which of the following functions has a phase shift of π right? Mark all that apply

• y=2sin(x+π)-1

• y=2sin(x-π)-1

• y=2sin(2x+2π)-1

• y=2sin(2x-2π)-1

• y=2sin(2x-π)-1

Tags

CCSS.HSF-IF.C.7E

Write an equation of a sine function with a period of π and amplitude of 7.

• y=7sin2πx
• y=7sinπx
• y=2sin7x
• y=7sin2x

Tags

CCSS.HSF.TF.A.4

Find the period of y=2sin[1/4x-π/2]

• π/2

• 8π

• 4π

• π

Tags

CCSS.HSF-IF.C.7E

Find the phase shift of y=-4cos[1/4x+π/4]

• 2π units to the right

• π units to the right

• π units to the left

• 2π units to the left

Tags

CCSS.HSF-IF.C.7E