Functions — Test Answers

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1
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What is the domain of the given function?

A
start set y such that y is equal to negative 7 comma negative 6 comma negative 2 comma negative 1 comma 0 comma 1 comma 3 comma 9 end set
B
start set x such that x is equal to negative 7 comma negative 6 comma negative 2 comma negative 1 comma 0 comma 1 comma 3 comma 9 end set
C
start set y such that y is equal to negative 7 comma negative 2 comma 1 comma 9 end set
D
start set x such that x is equal to negative 6 comma negative 1 comma 0 comma 3 end set
3

What ordered pair is closest to a local minimum of the function, f of x ?

A
0 comma negative 2
B
2 comma 1
C
1 comma 4
D
negative 1 comma negative 3
4

Which statement correctly identifies a local minimum of the graphed function?

A
Over the interval left bracket negative 2 comma negative 1 right bracket , the local minimum is 2 point 2 .
B
Over the interval left bracket 0 point 5 comma 2 right bracket , the local minimum is 4 .
C
Over the interval left bracket negative 3 comma negative 2 right bracket , the local minimum is 0 .
D
Over the interval left bracket negative 1 comma 0 point 5 right bracket , the local minimum is 1 .
5

What is x when f of x is equal to 0 ?

A
negative 1 point 8
B
negative 1 point 2
C
0
D
5
6

Which statements about the local maximums and minimums for the given function are true? Choose three correct answers.

A
Over the interval left bracket 3 comma 5 right bracket , the local minimum is negative 8 .
B
Over the interval left bracket 1 comma 4 right bracket , the local maximum is 0 .
C
Over the interval left bracket 1 comma 3 right bracket , the local minimum is 0 .
D
Over the interval left bracket 2 comma 4 right bracket , the local minimum is negative 8 .
E
Over the interval left bracket 3 comma 5 right bracket , the local maximum is 0 .
8

Which is a valid prediction about the continuous function f of x ?

A
f of x is greater than 0 over the interval negative 1 comma infinity .
B
f of x is greater than or equal to 0 over the interval negative 1 comma 1 .
C
f of x is less than 0 over the interval 0 comma 2 .
D
f of x is less than or equal to 0 over the interval negative infinity comma infinity .
9

What is the range of the function on the graph?

A
all the real numbers
B
all the real numbers greater than or equal to 0
C
all the real numbers greater than or equal to negative 3
D
all the real numbers greater than or equal to 2
11

What are all of the x -intercepts of the continuous function in the table?

A
negative 4 comma 0 , 4 comma 0
B
negative 4 comma 0
C
negative 4 comma 0 , 0 comma 8 , 4 comma 0
D
0 comma 8
12

A sequence is defined by the recursive formula f of n plus 1 is equal to 1 point 5 f of n Which sequence could be generated using the formula?

A
negative 12 comma negative 18 comma negative 27 comma dots
B
negative 18 comma negative 16 point 5 comma negative 15 comma dots
C
negative 16 comma negative 17 point 5 comma negative 19 comma dots
D
negative 20 comma 30 comma negative 45 comma dots
13

The volume of air inside a rubber ball with radius r can be found using the function V of r is equal to 4 thirds pi r cubed What does V of 5 sevenths represent?

A
that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet
B
the radius of the rubber ball when the volume equals 5 sevenths cubic feet
C
the volume of the rubber ball when the radius equals 5 sevenths feet
D
that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet
15

Which set of ordered pairs represents a function?

A
start set 6 comma 8 comma 5 comma 2 comma negative 2 comma negative 5 comma1 comma negative 3 comma negative 2 comma 9 end set
B
start set negative 3 comma 1 comma 6 comma 3 comma negative 3 comma 2 comma negative 3 comma negative 3 comma 1 comma negative 1 end set
C
start set 3 comma negative 1 comma 7 comma 1 comma negative 6 comma negative 1 comma 9 comma 1 comma 2 comma negative 1 end set
D
start set open paren 2 comma negative 2 close paren comma open paren 1 comma 5 close paren comma open paren negative 2 comma 2 close paren comma open paren 1 comma negative 3 close paren comma open paren 8 comma negative 1 close paren end set
16

Which best describes the relationship between the successive terms in the sequence shown? 2 point 4 comma negative 4 point 8 comma 9 point 6 comma negative 19 point 2

A
The common difference is negative 7 point 2 .
B
The common ratio is negative 2 point 0 .
C
The common difference is negative 2 point 4 .
D
The common ratio is negative 0 point 5 .
18

Mr. Jones asks his students to generate the next two numbers in the sequence beginning negative 5 point 5 comma 11 comma dots Taquan suggests that the sequence is geometric and the next two numbers are negative 22 and 44 Julia suggests that the sequence is arithmetic and the next two numbers are 27 point 5 and 44 Which best explains which student is correct?

A
Taquan is correct. When the signs change in a sequence, the sequence is geometric. Each successive term is generated by multiplying by negative 2 .
B
Julia is correct. When the numbers alternate between decimals and whole numbers, the sequence is arithmetic. Each successive term is generated by adding 16 point 5 .
C
Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.
D
Both students could be correct about the types of possible sequences. However, one student made a computational error because it is not possible to arrive at a fourth term of 44 in two different ways.
19

The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an average of 3 new members sign up each day. Which best describes why the graph relating the total number of members on the yearbook club, m , and the number of days the booth is set up, d , will be continuous or discrete?

A
The graph will be continuous because an end day for the booth being set up is not given in the description.
B
The graph will be continuous because there can be any number of people signing up each day since we are only given the average.
C
The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.
D
The graph will be discrete because some day the number of available people to sign up for the club will run out.

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