AnswersAlgebra IIRelations and Functions

Relations and Functions — Quiz Answers

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1
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Which set represents the same relation as the graph? Expand Image

A
start set open paren 4 comma negative 5 close paren comma open paren negative 2 comma negative 3 close paren comma open paren negative 2 comma negative 1 close paren comma open paren 0 comma 2 close paren comma open paren 3 comma 3 close paren comma open paren 5 comma 4 close paren comma open paren negative 4 comma 6 close paren end set
B
start set open paren negative 5 comma 4 close paren comma open paren negative 3 comma negative 1 close paren comma open paren 3 comma 3 close paren comma open paren 4 comma 5 close paren comma open paren 6 comma negative 4 close paren end set
C
start set open paren negative 5 comma 4 close paren comma open paren negative 3 comma negative 2 close paren comma open paren negative 1 comma negative 2 close paren comma open paren 2 comma 0 close paren comma open paren 3 comma 3 close paren comma open paren 4 comma 5 close paren comma open paren 6 comma negative 4 close paren end set
D
start set open paren 4 comma negative 5 close paren comma open paren negative 3 comma 2 close paren comma open paren negative 1 comma 2 close paren comma open paren 2 comma 0 close paren comma open paren 4 comma 5 close paren comma open paren 6 comma 4 close paren end set
2
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Which graph represents the same relation as the set start set open paren negative 3 comma 2 close paren comma open paren 5 comma 5 close paren comma open paren 3 comma 3 close paren comma open paren 3 comma negative 2 close paren end set ?

A
Image with description A coordinate plane with x-axis from negative 5 to 5, y-axis from negative 5 to 5, has 4 points. The points are (negative 3 comma 2), (3 comma negative 2), (3 comma 3), (5 comma 5).
B
Image with description A coordinate plane with x-axis from negative 5 to 5, y-axis from negative 5 to 5, has 3 points. The points are (negative 3 comma 2), (3 comma negative 2), (5 comma 5).
C
Image with description A coordinate plane with x-axis from negative 5 to 5 comma y-axis from negative 5 to 5 comma has 4 points. The points are (negative 2 comma 3), (2 comma negative 3), (3 comma 3),(5 comma 5).
D
Image with description A coordinate plane with x-axis from negative 5 to 5, y-axis from negative 5 to 5, has 7 points. The points are (negative 3 comma 0), (0 comma 5), (0 comma 3), (0 comma 2), (0 comma negative 2), (3 comma 0), (5 comma 0).
3

Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation.

A
the set of birthdays and the set of students in a class
B
the set of car make and models and the set of people in a certain town
C
the set of tree heights and the set of trees in a forest
D
the set of people with Social Security cards and the set of Social Security numbers
4

In which function is x is equal to 2 mapped to 32 ?

A
g of x is equal to 4 times open paren x plus 3 close paren squared minus 68
B
f of x is equal to negative 3 x squared minus 4
C
f of x is equal to 2 x minus 62
D
h of x is equal to 3 x
5

For what value of c is the relation a function? start set open paren 2 comma 8 close paren comma open paren 12 comma 3 close paren comma open paren c comma 4 close paren comma open paren negative 1 comma 8 close paren comma open paren 0 comma 3 close paren end set

A
12
B
negative 1
C
1
D
2
6

Which table represents the same relation as the set start set open paren negative 6 comma 4 close paren comma open paren negative 4 comma 0 close paren comma open paren negative 3 comma 2 close paren comma open paren negative 1 comma 2 close paren end set ?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '4'; Column 2, 'negative 6' Row 3: Column 1, '0'; Column 2, 'negative 4' Row 4: Column 1, '2'; Column 2, 'negative 3' Row 5: Column 1, '2'; Column 2, 'negative 1'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 6'; Column 2, 'negative 3' Row 3: Column 1, '4'; Column 2, '2' Row 4: Column 1, 'negative 4'; Column 2, 'negative 1' Row 5: Column 1, '0'; Column 2, '2'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '6'; Column 2, '4' Row 3: Column 1, '4'; Column 2, '0' Row 4: Column 1, '3'; Column 2, '2' Row 5: Column 1, '1'; Column 2, '2'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 6'; Column 2, '4' Row 3: Column 1, 'negative 4'; Column 2, '0' Row 4: Column 1, 'negative 3'; Column 2, '2' Row 5: Column 1, 'negative 1'; Column 2, '2'
7

What is the range of the relation in the table? x y negative 2 0 negative 1 2 0 4 1 2 2 0

A
range: start set 0 comma 2 comma 4 end set
B
range: start set negative 2 comma negative 1 comma 0 comma 1 comma 2 end set
C
range: start set 0 comma 4 end set
D
range: start set 0 comma 2 end set
8

Which relation represents a function?

A
start set open paren 3 comma 5 close paren comma open paren 8 comma 4 close paren comma open paren 10 comma 11 close paren comma open paren 10 comma 6 close paren end set
B
start set open paren negative 2 comma 2 close paren comma open paren 0 comma 2 close paren comma open paren 7 comma 2 close paren comma open paren 11 comma 2 close paren end set
C
start set open paren 13 comma 2 close paren comma open paren 13 comma 3 close paren comma open paren 13 comma 4 close paren comma open paren 13 comma 5 close paren end set
D
start set open paren 0 comma 0 close paren comma open paren 2 comma 3 close paren comma open paren 2 comma 5 close paren comma open paren 6 comma 6 close paren end set
9

Which set represents the same relation as the table? x f of x 0 5 4 2 6 9 9 10

A
start set open paren 5 comma 0 close paren comma open paren 2 comma 4 close paren comma open paren 9 comma 6 close paren comma open paren 10 comma 9 close paren end set
B
start set 0 comma 2 comma 4 comma 5 comma 6 comma 9 comma 10 end set
C
start set 2 comma 5 comma 9 comma 10 end set
D
start set open paren 0 comma 5 close paren comma open paren 4 comma 2 close paren comma open paren 6 comma 9 close paren comma open paren 9 comma 10 close paren end set
10

What is the domain of the relation graphed? Expand Image

A
domain: start set negative 5 comma negative 4 comma negative 3 comma 1 comma 2 comma 5 end set
B
domain: start set negative 5 comma negative 4 comma negative 3 comma negative 2 comma 0 comma 1 comma 2 comma 3 comma 4 comma 5 end set
C
domain: start set open paren negative 5 comma 0 close paren comma open paren negative 4 comma 1 close paren comma open paren negative 3 comma 4 close paren comma open paren 1 comma negative 2 close paren comma open paren 2 comma 4 close paren comma open paren 5 comma negative 3 close paren end set
D
domain: start set negative 3 comma negative 2 comma 0 comma 1 comma 4 end set

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