Answers FL-1200330-Algebra 2 Sem 1 - FlexRelations and Functions

Relations and Functions — Unit test Answers

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Given and , for which value of does ?

x = three-halves

x = 2

x = five-halves

x = 4

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Which graph represents the same relation as the table below?xf(x)–25011–12–3

A coordinate plane has 4 points. The points are (negative 2, 5), (negative 1, 1), (0, negative 1), and (negative 2, negative 3)

A coordinate plane has 8 points. The points are (negative 2, 0), (0, 5), (0, 1), (0, 0), (0, negative 1), (0, negative 3), (1, 0), (2, 0).

A coordinate plane has 4 points. The points are (negative 3, 2), (negative 1, 1), (1, 0), (5, negative 2)

A coordinate plane has 4 points. The points are (negative 2, 5), (0, 1), (1, negative 1), (2, negative 3).

Given , find f(7).

–4

What is the value of the following function when x = 0?

y = negative 5

y = negative 2

y = negative 1

y = 0

To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function. Is Shayla applying the vertical line test correctly?

No, because the y-axis is a horizontal line.

No, because using the y-axis tests only whether x = 0 is mapped to multiple values.

Yes, because multiple y-intercepts represent multiple x-values being mapped to y = 0.

Yes, because the y-axis represents all vertical lines of the x-values.

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

the set of tree heights and the set of trees in a forest

the set of car make and models and the set of people in a certain town

the set of birthdays and the set of students in a class

the set of people with Social Security cards and the set of Social Security numbers

For what value of is the relation a function?

–1

At which value in the domain does ?

x = negative 3

x = 0

x = 1

x = 4

Given the graph below, which of the following statements is true?

The graph represents a one-to-one function because every x-value is paired with only one y-value.

The graph represents a one-to-one function because it is defined for all x-values.

The graph does not represent a one-to-one function because it does not pass through the origin.

The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

What is the range of the function graphed below?

1 less-than-or-equal-to y less-than 4

Negative 3 less-than y less-than-or-equal-to 3

Negative 2 less-than-or-equal-to y less-than-or-equal-to 3

Negative 3 less-than-or-equal-to y less-than 4

Which relation represents a function?

StartSet (0, 0), (2, 3), (2, 5), (6, 6) EndSet

StartSet (3, 5), (8, 4), (10, 11), (10, 6) EndSet

StartSet (negative 2, 2), (0, 2), (7, 2), (11, 2) EndSet

StartSet (13, 2), (13, 3), (13, 4), (13, 5) EndSet

Given , what is ?

Negative 10

Negative 6

Which of the following graphs represents a one-to-one function?

On a coordinate plane, a function has two curves connected to a straight line. The first curve has a maximum of (negative 6, 4) and a minimum of (negative 4.5, negative 1). The second curve has a maximum of (negative 3.5, 2) and a minimum of (negative 2.5, 0.5). The straight line has a positive slope and starts at (negative 2, 1) and goes through (1, 2).

On a coordinate plane, a circle intersects the x=axis at (negative 2, 0) and (2, 0) and intercepts the y-axis at (0, 4) and (0, negative 4).

On a coordinate plane, a v-shaped graph is facing up. The vertex is at (0,0) and the function goes through (negative 4, 4) and (4, 4).

A coordinate plane has 7 points. The points are (negative 4, 1), (negative 3, 4), (negative 1, 3), (1, negative 3), (3, negative 4), (4, negative 2), (5, 3).