A.4.15 Practice Problems

Problem 1
Noah's cousin is exactly 7 years younger than Noah. Let C represent Noah's cousin's age and N represent Noah's age. Ages are measured in years.[br]a. Write a function that defines the cousin's age as a function of Noah's age. What are the input and output of this function?[br]b. Write the inverse of the function you wrote. What are the input and output of this inverse function?
Problem 2
Noah's cousin is exactly 7 years younger than Noah. Let M represent Noah's cousin's age in months and N represent Noah's age in years. [br]a. If Noah is 15 years old, how old is his cousin, in months?[br]b. When Noah's cousin is 132 months old, how old is Noah, in years?[br]c. Write a function that gives the age of Noah's cousin in months, as a function of Noah's age in years.[br]d. Write the inverse of the function you wrote. What are the input and the output of this inverse function?
Problem 3
Each equation represents a function. For each, find the inverse function. [br]a. c=w+3[br]b. y=x-2[br]c. y=5x[br]d. w=d/7
Problem 4
Sketch a graph to represent each quantity described as a function of time. Be sure to label the vertical axis.
Swing: The height of your feet above ground while swinging on a swing at a playground
Slide: The height of your shoes above ground as you walk to a slide, go up a ladder, and then go down a slide
Merry-go-round: Your distance from the center of a merry-go-round as you ride the merry-go-round
Merry-go-round, again: Your distance from your friend, who is standing next to the merry-go-round as you go around
Problem 5
The number of years, y, is a function of the number of months, m. The number of months, m, is also a function of the number of years, y. [br]a. Write two equations, one to represent each function.[br]b. Explain why the two functions are inverses.
Problem 6
Lin charges $5.50 per hour to babysit. The amount of money earned, in dollars, is a function of the number of hours that she babysits.[br]Which of the following inputs is impossible for this function?
Problem 7
The instructions for cooking a steak with a pressure cooker can be represented with this set of rules, where x represents the weight of a steak in ounces and f(x) the cooking time in minutes.[br][img]data:image/png;base64,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[/img][br]a. Describe the instructions in words so that they can be followed by someone using the pressure cooker.
b. Graph function f.
Problem 8
The absolute value function Q(x)=|x| gives the distance from 0 of the point x on the number line.[br]Q can also be defined using piecewise 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[/img][br]Determine if each point is on the graph of Q. For each point that you believe is not on the graph of Q, change the output coordinate so that the point is on the graph of Q.[br]a. (-3,3)[br]b. (0,0)[br]c. (-5,-5)[br]d. (-72,72)[br]e. (4/5,-4/5)
Schließen

Information: A.4.15 Practice Problems