Answers MO-Algebra I ARecognizing Patterns

Recognizing Patterns — Unit test Answers

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On a coordinate plane, a curved line with a maximum value of (negative 1, 2) crosses the x-axis at (negative 3, 0) and (1, 0), and crosses the y-axis at (0, 1.5).

(–3, 0) and (0, 1.5)

(–3, 0) and (1,0)

(–1, 2) and (1, 0)

(0, 1.5) and (1, 0)

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A 2-column table with 4 rows. The first column is labeled x with entries negative 6, negative 1, 0, 3. The second column is labeled y with entries negative 7, 1, 9, negative 2.

{x | x = –6, –1, 0, 3}

{y | y = –7, –2, 1, 9}

{x | x = –7, –6, –2, –1, 0, 1, 3, 9}

{y | y = –7, –6, –2, –1, 0, 1, 3, 9}

The function f(x) is shown on the graph.

12 only

2 and 3 only

–2, –1, 1, and 2 only

–2, –1, 1, 2 and 12

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?9.6, –4.8, 2.4, –1.2, 0.6, ...

f(n + 1) = (–0.5)f(n)

f(n + 1) = (0.5)f(n)

f(n + 1) = f(0.5n)

f(n + 1) = f(–0.5n)

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

Option

A 2-column table with 4 rows. The first column is labeled x with entries negative 6, negative 1, 0, 3. The second column is labeled y with entries negative 7, 1, 9, negative 2.

{x | x = –6, –1, 0, 3}

{y | y = –7, –2, 1, 9}

{x | x = –7, –6, –2, –1, 0, 1, 3, 9}

{y | y = –7, –6, –2, –1, 0, 1, 3, 9}

Which table represents a function?

Option

Which set of ordered pairs represents a function?

{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}

{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}

{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}

{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}

On a coordinate plane, a curved line crosses the y-axis at (0, 1), crosses the x-axis at (.25, 0), turns at point (2, negative 3), and crosses the x-axis (3.75, 0).

all the real numbers

all the real numbers greater than or equal to 0

all the real numbers greater than or equal to 2

all the real numbers greater than or equal to –3

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

Option

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

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 line with a 90-degree angle crosses the y-axis at (0, 1), the x-axis at (1, 0), turns at (3, negative 2), and crosses the x-axis at (5, 0).

Option

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}

What is the domain of the given function?{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}

{x | x = –4, –1, 3, 5, 6}

{y | y = –2, 0, 1, 4, 9}

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

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

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

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.

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

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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Recognizing Patterns — Unit test Answers

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