Answers INMT2 Integrated Math 2 Sem 1 26-27Step Functions

Step Functions — Unit test Answers

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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.

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Which describes how to graph by transforming the parent function?

Reflect the parent function over the y-axis, and translate it 3 units to the right.

Reflect the parent function over the y-axis, and translate it 3 units to the left.

Reflect the parent function over the x-axis, and translate it 8 units to the right.

Reflect the parent function over the x-axis, and translate it 8 units to the left.

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

Which statement best describes and the parent function ?

The domains of g(x) and f(x) are the same, but their ranges are not the same.

The ranges of g(x) and f(x) are the same, but their domains are not the same.

The ranges of g(x) and f(x) are the same, and their domains are also the same.

The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.

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}

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)

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

It has the same domain as the function f(x) = .

It has the same range as the function f(x) = .

It has the same domain as the function f(x) = .

It has the same range as the function f(x) = .

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}

The graph represents the cost of catering a dinner as a function of the number of guests.

$400

$600

$700

$800

If f(x) = , what is f(7.6)?

3.5

3.8

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 function g(x) is defined as shown.

−2

−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 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.

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Step Functions — Unit test Answers

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