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Graphs of Sine

Graphs of Sine

Assessment

Presentation

Mathematics

10th Grade

Hard

Created by

James Gonzalez

FREE Resource

11 Slides • 15 Questions

1

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4.5 Graphs of Sine and Cosine Functions

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5

Multiple Choice

What is the domain and range of y=sinx? #2

1

D: (-∞, ∞) R: [-1, 1]

2

D: (-∞, ∞) R: [-π, π]

3

D: (∞, -∞) R: [-1, 1]

4

D: (-∞, ∞) R: [-∞, ∞]

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7

8

9

Multiple Choice

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Sine or Cosine? #1

1

y=sinx

2

y=cosx

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Multiple Choice

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Which function represents the graph? #6

1

f(x) = 3 sin x

2

f(x) = 3 cos x

3

f(x) = sin ( ⅓ x)

4

f(x) = sin (3 x)

11

Multiple Choice

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What is the equation of the graph? #7

1

 y = 2 cos x

2

y = sin x

3

y = 2 sin x

4

y = sin 2x 

12

Multiple Choice

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What is the equation of graph? #8 

1

y = sin 5x

2

y =  cos 5x

3

y = 5 sin x

4

y = 5 cos x 

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14

Multiple Choice

The __________ represents half the distance between the max and min of a sine or cosine graph#3

1

Period

2

Frequency

3

Extreme Values

4

Amplitude

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Multiple Choice

What is the period of y= -3sin(x)? #4

1

π

2

3

4

16

Multiple Choice

What is the amplitude of y = 3sin (7x) -2? #5

1

7

2

-2

3

3

4

6

17

18

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19

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Multiple Select

Describe the shift: cos(x-(π/4)). #12

1

Up π

2

Down (π/4)

3

Left (π/4)

4

Right (π/4)

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Multiple Select

Describe the shift: cos(x+2π) - 5. #13

1

Up 5

2

Down 5

3

Left 2π

4

Right 2π

22

Multiple Choice

What is the phase shift of f(x) = 3cos(2x-π) ? #14

1

Down by π/2

2

Left by π/2

3

Right by π/2

4

Right by 2π

23

Multiple Choice

Phase shift means ... #17

1

An up or down movement

2

A left or right movement

3

Height of graph

4

...set Phasers to stun

24

Multiple Choice

What is the period of y=4cos5x? #19

1

2π/5

2

π

3

5

4

5π

25

Multiple Select

Which of the following functions has a phase shift of π to the right? Mark all that apply. #20

1

y=2sin(x+π)-1

2

y=2sin(x-π)-1

3

y=2sin(2x+2π)-1

4

y=2sin(2x-2π)-1

5

y=2sin(2x-π)-1

26

Multiple Choice

Find the period of y=2sin[1/4x-π/2]. #22

1

π/2

2

3

4

π

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4.5 Graphs of Sine and Cosine Functions

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