Answers WV-Algebra I CRIntroduction to Functions

Introduction to Functions Answers

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To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units. Determine which statements about the relationship are true. Choose two options.g is the dependent variable.u is the dependent variable.g is the independent variable.u is the independent variable.The two variables cannot be labeled as independent or dependent without a table of values.

g is the dependent variable.

u is the dependent variable.

g is the independent variable.

u is the independent variable.

The two variables cannot be labeled as independent or dependent without a table of values.

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Which table represents a function?

Option

A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 9), (2, negative 6), (negative 5, 4), (1, 2), (6, 0).

{x | x = –5, –3, 1, 2, 6}

{y | y = –9, –6, 0, 2, 4}

{x | x = –9, –6, –5, –3, 0, 1, 2, 4, 6}

{y | y = –9, –6, –5, –3, 0, 1, 2, 4, 6}

Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.

all real numbers such that y ≤ 40

all real numbers such that y ≥ 0

all real numbers such that 0 ≤ y ≤ 40

all real numbers such that 37.75 ≤ y ≤ 40

On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4), (2, negative 4), (2, negative 2).

1 point

2 points

3 points

0 points

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1), (1, 3), (2, negative 3).

(–4, 2)

(–1, 4)

(1, 3)

(2, –3)

On a coordinate plane, a curved line begins at point (1, 2) and ends at (5, 4).

all real numbers

all real numbers greater than or equal to 0

all real numbers greater than or equal to 1

all real numbers greater than or equal to 2

What is the range of the given function?{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

{x | x = –5, –4, –2, 0, 2}

{y | y = –9, –3, 0, 5, 7}

{x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}

{y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}

Which graph shows a set of ordered pairs that represents a function?

On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3).

On a coordinate plane, solid circles appear at the following points: (negative 5, 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3).

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 1, 4), (1, 0), (2, 3), (2, negative 3), (3, 1).

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 3, negative 4), (negative 3, 4), (negative 2, 1), (2, negative 3), (3, negative 1).

On a coordinate plane, solid circles appear at the following points: (negative 2, negative 5), (negative 1, 3), (1, negative 2), (3, 0), (4, negative 2), (4, 4).

It is not a function because the points are not connected to each other.

It is not a function because the points are not related by a single equation.

It is not a function because there are two different x-values for a single y-value.

It is not a function because there are two different y-values for a single x-value.

A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 1, 4, 6. The second column is labeled y with entries 9, 0, negative 7, negative 1.

{x | x = –5, 1, 4, 6}

{y | y = –7, –1, 0, 9}

{x | x = –7, –5, –1, 0, 1, 4, 6, 9}

{y | y = –7, –5, –1, 0, 1, 4, 6, 9}

On a coordinate plane, a curved line begins at point (negative 2, negative 3), crosses the y-axis at (0, negative .25), and the x-axis at (1, 0).

all real numbers

all real numbers greater than or equal to 0

all real numbers greater than or equal to –2

all real numbers greater than or equal to –3

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Introduction to Functions Answers

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