Answers LPS CR - Algebra II - AUnit Test

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The dimensions of a rectangle are represented by the functions shown.

12x2 + 15x – 10

12x2 + 7x + 10

12x2 – 8x – 10

12x2 + 7x – 10

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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

If , what is ?

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f Superscript negative 1 Baseline (x) = one-ninth x + 2

f Superscript negative 1 Baseline (x) = negative 2 x + one-ninth

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).

The graph of f(x) is shown below.If f(x) and its inverse function, , are both plotted on the same coordinate plane, where is their point of intersection?

(0, 6)

(1, 4)

(2, 2)

(3, 0)

If h(x) is the inverse of f(x), what is the value of h(f(x))?

f(x)

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

Given and , for which value of does ?

x = three-halves

x = 2

x = five-halves

x = 4

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

y = negative 5

y = negative 2

y = negative 1

y = 0

The table shows three functions and their output values for different values of x.

Option

h(x) = (f(x))(g(x))

h(x) = f(x) – g(x)

h(x) = f(x) + g(x)

The force exerted by a pulley is the sum of the tension and the force of gravity. Since a pulley is used to lift something, the force is negative. The tables show the tension, T(m), and the force of gravity, G(m), for objects of various masses, m in grams, all accelerating upward at 2.5 m/s2.The force of the rope is equal to the negative of the sum of the rope’s tension and the force of gravity.

Option

Question text not available

Answer not available

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 h(x) = (f(x))(g(x))?

Option

The length of time in hours of two airplane flights are represented by the following functions, where x is the number of miles for the flight:Flight A: f(x) = 0.003x – 1.2Flight B: g(x) = 0.0015x + 0.8Which function represents the total of the flight times, h(x) = f(x) + g(x)?

h(x) = 0.0015x – 2

h(x) = 0.045x – 0.4

h(x) = 0.0045x – 0.4

h(x) = 0.0045x – 2

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

Study the equations:f(x) = 6x + 7g(x) = 4x – 2What is h(x) = f(x)g(x)?

h(x) = 24x2 – 14

h(x) = 24x2 + 40x + 14

h(x) = 24x2 + 16x – 14

h(x) = 24x2 + 12x – 14

The functions below represent the amounts of water released from two reservoirs over x weeks:Reservoir Af(x) = x2 – 7x + 5Reservoir Bg(x) = 3x2 – 6x + 2The function h(x) = f(x) – g(x) represents the difference in the amounts of water released.Determine which statements about h(x) and about the reservoirs are true. Check all that apply.

h(x) = –2x2 – 13x + 6

h(x) = –2x2 – x + 3

Reservoir A releases less water than Reservoir B over 1 week.

Reservoir A releases the same amount of water as Reservoir B over 1 week.

Reservoir A releases more water than Reservoir B over 1 week.

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.

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