special functions, statistics homework help

Other

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.

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