special functions, algebra 2 multiple choice questions help

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special functions, algebra 2 multiple choice questions help

For each of the questions, provide the correct answer and explanation. Double check all work for accuracy

Which equation is shown in the graph?

a. y = [[x]]

b. y = [[x + 3]]

c. y = [[x]] ­- 3

d. y = |x ­- 3|

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Which function is shown in the graph?

a. y = | x | + 4

b. y = | x + 4 |

c. y = | x | -­ 4

d. y = | x ­- 4 |

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Given the function: f(x) = -½ | x+4| Describe the transformations to the function

A. moves to the right 4 units and is wider than the parent function

B. moves to the left 4 units and is wider than the parent function

C. moves to the right 4 units, is wider than the parent function, and is flipped over the x-axis

D. moves to the left 4 units, is wider than the parent function, and is flipped over the x-axis

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Given the function: f(x) = 2|x-2| + 3 Describe how the function is transformed

a. Moves to the right by 2 and up by 3 units

B. Moves to the left by 2, up 3 units, and is steeper than the parent function

C. Moves to the right by 2, up 3 units, and is steeper than the parent function

D. Moves to the left by 2, up 3 units, and is flatter than the parent function

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For which function is the range {y | y ≤ 0}?

a. f(x) = ­- x

b. f(x) = [[x]]

c. f(x) = | x |

d. f(x) = ­- | x |

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Which piecewise function is equivalent to the absolute value function and its graph?

y = 2|x ­- 4| + 2

A.
B.
C.
D.

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Which of the following situations could be graphed using a step function?

a. The cost for a phone plan is $25 per month and 10 cents per minute.

b. McDonald’s employees get paid $7.25 per hour up to 40 hours and they make $10.88 per hour if they work over $40 hours.

c. A t-­shirt company charges a flat fee of $35 plus $4 per shirt for up to 100 shirts. If more than 100 shirts are ordered, the cost is $35 plus $2 per shirt.

d. A phone company charges $40 if you use less than 250 minutes, $75 if you use between 250­-450 minutes, and $100 for more than 450 minutes.

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Which graph shows the piecewise function given below?

A.

B.

C.

D.

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Which of the following represents a step function?

A.

B.

C.

D.

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A.
B.
C.
D.