Answers 4413VA ALGEBRA 3 SEM ADomain and Range from Data

Domain and Range from Data — Unit test Answers

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A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 15, negative 5, 0, 5, 0, negative 5.

f(x) ≤ 0 over the interval (–∞, ∞).

f(x) > 0 over the interval (–1, ∞).

f(x) ≥ 0 over the interval [–1, 1].

f(x) < 0 over the interval (0, 2).

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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)

Which graph shows the equation c = 10+ 3t, where c is the total cost of going to the carnival and t is the number of $3 tickets purchased?

On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends at point (6, 27).

On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 10), (1, 14), (2, 16), (3, 19), (4, 22), (5, 25), (6, 28).

On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 3), (1, 13), (2, 24), (3, 34), (4, 43), (5, 54).

The graph represents a functional relationship.

–14

–2

On a coordinate plane, a curved line with a minimum value of (0, 1) and a maximum value of (negative 1.3, 2.2), crosses the x-axis at (negative 2.2, 0) and crosses the y-axis at (0, 1).

Over the interval [–3, –2], the local minimum is 0.

Over the interval [–2, –1], the local minimum is 2.2.

Over the interval [–1, 0.5], the local minimum is 1.

Over the interval [0.5, 2], the local minimum is 4.

The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an average of 3 new members sign up each day. Which best describes why the graph relating the total number of members on the yearbook club, m, and the number of days the booth is set up, d, will be continuous or discrete?

The graph will be continuous because an end day for the booth being set up is not given in the description.

The graph will be continuous because there can be any number of people signing up each day since we are only given the average.

The graph will be discrete because some day the number of available people to sign up for the club will run out.

The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.

For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function . What does C(F) represent?

C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit

C(F) represents the output of the function F in degrees Fahrenheit when the input C is in degrees Celsius

C(F) represents the output of the function C in degrees Fahrenheit when the input F is in degrees Celsius

C(F) represents the output of the function F in degrees Celsius when the input C is in degrees Fahrenheit

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 graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is used to determine the height of the ball depending on its distance from the goalie, x.

mathematical: 0 < x < ∞ reasonable: 0 ≤ x ≤ 25

mathematical: 0 < x < ∞ reasonable: 0 ≤ x ≤ 52

mathematical: −∞ < x < ∞ reasonable: 0 ≤ x ≤ 25

mathematical: −∞ < x < ∞ reasonable: 0 ≤ x ≤ 52

A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch.

The reasonable range is limited to y ≥ 0.

The reasonable range is limited to y ≥ 0.6.

The reasonable range is limited to 0 ≤ y ≤ 5.5.

The reasonable range is limited to 0.6 ≤ y ≤ 5.5.

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

Option

A 2-column table with 7 rows. The first column is labeled x with entries negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 8, 2, 0, negative 2, negative 1, 0, 4.

(–2, 0)

(0, –2)

(2, –1)

(4, 0)

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.

(0, 8)

(–4, 0)

(–4, 0), (4, 0)

(–4, 0), (0, 8), (4, 0)

The function f(x) = 16.4x + 2 is used by a construction company to estimate the amount of fuel necessary for a truck to get to a job site depending on the miles from the office, x. The mathematical domain for the function is the set of real numbers.

The reasonable domain is the set of positive real numbers.

The reasonable domain is the set of positive whole numbers.

The reasonable domain is the set of real numbers greater than 2.

The reasonable domain is the set of whole numbers greater than 2.

Which statements about the local maximums and minimums for the given function are true? Choose three options.

Over the interval [1, 3], the local minimum is 0

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.

Over the interval [3, 5], the local maximum is 0.

The table represents a function.

–6

–2

A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 8, negative 3, negative 3, 4, 1, 3.