Answers Integrated Math II FullQuadratic Functions: Standard Form

Introduction to Functions Answers

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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)

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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}

Which table represents a function?

Option

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, 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.

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}

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

The table shows ordered pairs of the function . What is the value of y when ?

–20

–8

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

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.

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