Graphs of Sine and Cosine

Sine or Cosine?

• y=sinx
• y=cosx

Tags

CCSS.HSF-IF.C.7E

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.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the period of y=4cos5x

• 2π/5
• π
• 5
• 5π

Tags

CCSS.HSF.TF.A.4

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

• y=6sin(8x)
• y=6sin8(x-1)
• y=6sin1/4x
• y=6sinx

Tags

CCSS.HSF.TF.A.4

Which equation?

• y= -cos(2x)
• y= cos(2x)
• y= (1/2)cosx
• y= (-1/2)cosx

Tags

CCSS.HSF-IF.C.7E

Describe the shift: cos(x-(π/4))

• Up π

• Down (π/4)

• Left (π/4)

• Right (π/4)

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

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

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

The period of a function is 

• how long one cycle is before the function repeats
• how high and low the function goes from the center line
• the range of the function

Tags

CCSS.HSF.TF.A.4

Describe the shift: cos(x+2π) - 5

• Up 5

• Down 5

• Left 2π

• Right 2π

Tags

CCSS.HSF-IF.C.7E