AnswersMathematics IIIGraphing Sine and Cosine

Graphing Sine and Cosine — Quiz Answers

18 verified answers2 views
1
Free Preview

Which function has the given properties? The domain is the set of all real numbers. One x -intercept is open paren pi over 2 comma 0 close paren The maximum value is 3 The y -intercept is open paren 0 comma negative 3 close paren

A
y is equal to negative 3 sine x
B
y is equal to 3 cosine x
C
y is equal to negative 3 cosine x
D
y is equal to 3 sine x
2
Free Preview

What is the range of y is equal to negative 5 sine x ?

A
all real numbers negative 1 is less than or equal to y comma y is less than or equal to 1
B
all real numbers negative 1 fifth is less than or equal to y comma y is less than or equal to 1 fifth
C
all real numbers negative 5 halves is less than or equal to y comma y is less than or equal to 5 halves
D
all real numbers negative 5 is less than or equal to y comma y is less than or equal to 5
3

What is the range of f of x is equal to sine of x ?

A
the set of all real numbers negative 2 pi is less than or equal to y comma y is less than or equal to 2 pi
B
the set of all real numbers negative 1 is less than or equal to y comma y is less than or equal to 1
C
the set of all real numbers 0 is less than or equal to y comma y is less than or equal to 2 pi
D
the set of all real numbers
4

What is the domain of f of x is equal to cosine of x ?

A
the set of real numbers negative 2 pi is less than or equal to x comma x is less than or equal to 2 pi
B
the set of all real numbers
C
the set of real numbers 0 is less than or equal to x comma x is less than or equal to 2 pi
D
the set of real numbers negative 1 is less than or equal to x comma x is less than or equal to 1
5

Which formula gives the x -coordinates of the maximum values for y is equal to cosine of x ?

A
k pi for any integer k
B
k pi over 2 for k is equal to 0 comma plus or minus 2 comma plus or minus 4 comma ...
C
k pi for k is equal to 0 comma plus or minus 2 comma plus or minus 4 comma ...
D
k pi over 2 for any positive integer k
6

Which set of transformations is needed to graph f of x is equal to negative 2 sine x plus 3 from the parent sine function?

A
reflection across the x -axis, vertical stretching by a factor of 2 , vertical translation 3 units up
B
vertical compression by a factor of 2 , vertical translation 3 units down, reflection across the x -axis
C
vertical compression by a factor of 2 , vertical translation 3 units up, reflection across the y -axis
D
reflection across the y -axis, vertical stretching by a factor of 2 , vertical translation 3 units down
7

Which of the following is true for f of x is equal to 5 cosine x plus 1 ?

A
The range of the function is the set of real numbers negative 4 is less than or equal to y comma y is less than or equal to 6 .
B
A zero of the function is open paren pi over 2 comma 0 close paren .
C
The function has an amplitude of 2 point 5 .
D
The period of the function is 10 pi .
8

What is the maximum of f of x is equal to sine of x ?

A
negative 1
B
negative 2 pi
C
2 pi
D
1
9

Which function has the given properties? The domain is the set of all real numbers. One x -intercept is open paren 2 pi comma 0 close paren The amplitude is 4 The point open paren pi over 2 comma negative 4 close paren is on the graph. The y -intercept is open paren 0 comma 0 close paren

A
y is equal to 4 sine x
B
y is equal to negative 4 sine x
C
y is equal to negative 4 cosine x
D
y is equal to 4 cosine x
10

What is the period of f of x is equal to sine of x ?

A
2 pi
B
3 pi over 2
C
pi
D
pi over 2
11

Which function has the given properties? The domain is the set of all real numbers. One x -intercept is open paren pi over 2 comma 0 close paren The maximum value is 3 The y -intercept is open paren 0 comma negative 3 close paren

A
y is equal to negative 3 cosine x
B
y is equal to negative 3 sine x
C
y is equal to 3 cosine x
D
y is equal to 3 sine x
12

Which formula gives the x -coordinates of the maximum values for y is equal to cosine of x ?

A
k pi over 2 for any positive integer k
B
k pi over 2 for k is equal to 0 comma plus or minus 2 comma plus or minus 4 comma ...
C
k pi for k is equal to 0 comma plus or minus 2 comma plus or minus 4 comma ...
D
k pi for any integer k
13

Which function has the given properties? The domain is the set of all real numbers. One x -intercept is open paren 2 pi comma 0 close paren The amplitude is 4 The point open paren pi over 2 comma negative 4 close paren is on the graph. The y -intercept is open paren 0 comma 0 close paren

A
y is equal to negative 4 sine x
B
y is equal to 4 cosine x
C
y is equal to 4 sine x
D
y is equal to negative 4 cosine x
14

Which of the following is true for f of x is equal to 5 cosine x plus 1 ?

A
The range of the function is the set of real numbers negative 4 is less than or equal to y comma y is less than or equal to 6 .
B
The period of the function is 10 pi .
C
The function has an amplitude of 2 point 5 .
D
A zero of the function is open paren pi over 2 comma 0 close paren .
15

Which set of transformations is needed to graph f of x is equal to negative 2 sine x plus 3 from the parent sine function?

A
reflection across the x -axis, vertical stretching by a factor of 2 , vertical translation 3 units up
B
vertical compression by a factor of 2 , vertical translation 3 units up, reflection across the y -axis
C
vertical compression by a factor of 2 , vertical translation 3 units down, reflection across the x -axis
D
reflection across the y -axis, vertical stretching by a factor of 2 , vertical translation 3 units down
16

What is the domain of f of x is equal to cosine of x ?

A
the set of real numbers 0 is less than or equal to x comma x is less than or equal to 2 pi
B
the set of real numbers negative 1 is less than or equal to x comma x is less than or equal to 1
C
the set of all real numbers
D
the set of real numbers negative 2 pi is less than or equal to x comma x is less than or equal to 2 pi
17

What is the maximum of f of x is equal to sine of x ?

A
2 pi
B
negative 2 pi
C
negative 1
D
1
18

What is the period of f of x is equal to sine of x ?

A
2 pi
B
pi over 2
C
3 pi over 2
D
pi

Did you find these answers helpful?

More from this Course

Quiz
23 verified answers

Quiz

Quiz
20 verified answers

Quiz

Quiz
20 verified answers

Quiz