Answers NY-Algebra I Term 1 HillcrestUnit Test

Unit Test — Unit test Answers

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

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The function g(x) is defined as shown.

−2

−1

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

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 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}

Question text not available

The range of the transformed function and the parent function are both all real numbers greater than or equal to 4.

The domain of the transformed function is all real numbers and is, therefore, different from that of the parent function.

The range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function.

The domain of the transformed function and the parent function are both all real numbers.

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}

Which statement is true about the function f(x)= –?

The domain of the function is all negative real numbers.

The range of the function is all positive real numbers.

The domain and range of the function have opposite signs.

The domain and range of the function are the same.

What is the vertex of the graph of f(x) = |x + 3| + 7?

(3, 7)

(7, 3)

(–3, 7)

(7, –3)

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

(–∞, –7)

(–∞, –1)

(–∞, 1)

(–∞, 7)

Which is the graph of g(x)?g(x) =

Option

Question text not available

all real numbers

all real numbers less than or equal to −4

all real numbers greater than or equal to 1

all real numbers greater than or equal to −4

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

If g(x) = 2 − 1, what is g(−2.3)?

-7

-5

-4

-3

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

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