Answers Algebra IUnit Test

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On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 2).

g(x) = |x + 4| – 2

g(x) = |x – 4| – 2

g(x) = |x – 2| – 4

g(x) = |x – 2| + 4

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Which describes the range of the parent absolute value function?

{y | y is a real number}

{y | y is an integer}

{y|y > 0}

{y|y < 0}

If g(x) = 2 − 1, what is g(−2.3)?

-7

-5

-4

-3

Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of the room?Recall that the area of a square is calculated by l2, where l is the length of one side.

feet

feet

feet

feet

Nina graphs the function y=⌊x⌋ to learn the properties of the parent floor function.What is the value of y when x=5.7?

5.50

5.75

Which is the graph of the piecewise function f(x)?f(x) =

Option

Combine these radicals.

Option

Which times and distances are represented by the function? Select three options.

The starting distance, at 0 hours, is 300 miles.

At 2 hours, the traveler is 725 miles from home.

At 2.5 hours, the traveler is still moving farther from home.

At 3 hours, the distance is constant, at 875 miles.

The total distance from home after 6 hours is 1,062.5 miles.

The function g(x) is defined as shown.

−2

−1

Nathan has a rectangular plot of grass in his backyard that has dimensions of meters in width and meters in length. What is the total area of the plot of grass? Recall that the area of a rectangle is the width multiplied by the length.

square meters

All points of the step function f(x) are graphed.

−3, −2, −1, 0, 1

−2, −1, 0, 1

all real numbers such that −3 < y ≤ 1

all real numbers such that −2 < y ≤ 1

The graph shows a vertical translation of y = .

{y|y < 0}

{y|y ≥ 0}

{y|y is a natural number}

{y|y is a real number}

Which table represents points on the graph of h(x) = ?

A 2-row table has 5 columns. The first row is labeled x with entries negative 8, negative 1, 0, 1, 8. The second row is labeled y with entries 4, 3, 2, 1, 0.

A 2-row table has 5 columns. The first row is labeled x with entries negative 2, negative 1, 0, 1, 2. The second row is labeled y with entries 10, 3, 2, 1, negative 6.

A 2-row table has 5 columns. The first row is labeled x with entries negative 6, 1, 2, 3, 10. The second row is labeled y with entries 2, 1, 0, negative 1, negative 2.

A 2-row table has 5 columns. The first row is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0. The second row is labeled y with entries negative 8, negative 1, 0, 1, 8.

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

The range of the graph is all real numbers greater than or equal to 0.

The domain of the graph is all real numbers greater than or equal to 0.

The range and domain of the graph are the same.

The domain of the graph is all real numbers.

The step function g(x) is defined as shown.g(x) = What is the range of g(x)?

–3 ≤ g(x) ≤ 5

0 ≤ g(x) ≤ 10

{–3, 2, 5}

{0, 4, 10}

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