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Practice

4.12.6 Practice

4.12.6 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

  1. The cost for an upcoming field trip is $15 per student. The cost of the field trip C , in dollars, is a function of the number of students x . Select two possible outputs for the function defined by C ( x ) = 15 x .
  1. 20
  2. 30
  3. 50
  4. 90
  5. 100
  1. A rectangle has an area of 24 c m 2 . Function f gives the length of the rectangle, in centimeters, when the width is w cm. Determine which values, in centimeters, are possible inputs of the function. Select three that apply.
  1. 3
  2. 0.5
  3. 48
  4. –6
  5. 0
  1. Select three possible input-output pairs for the function y = x 3 .
  1. ( − 1 , − 1 )
  2. ( − 2 , 8 )
  3. ( 3 , 9 )
  4. ( 1 2 , 1 8 )
  5. ( 4 , 64 )
  6. ( 1 , − 1 )
  1. Two functions are defined by the equations f ( x ) = 5 − 0.2 x and g ( x ) = 0.2 ( x + 5 ) .
     
    Select two possible statements that are true about the functions.
  1. f ( 3 )  >  0
  2. f ( 3 )  >  5
  3. g ( − 1 ) = 0.8
  4. f ( 0 ) = g ( 0 )
  1. Is the relation graphed below a function?

The figure shows the graph of some points on the x y-coordinate plane. The x and y-axes run from negative 6 to 6. The points (negative 3, 4), (negative 3, negative 1), (0, negative 3), (2, 3), (4, negative 1), and (4, negative 3).

  1. Yes
  2. No
  1. Is the relation graphed below a function?

The figure shows the graph of some points on the x y-coordinate plane. The x and y-axes run from negative 6 to 6. The points (negative 3, 4), (negative 3, negative 4), (negative 2, 0), (negative 1, 3), (1, 5), and (4, negative 2).

  1. Yes
  2. No

Use the following scenario for questions 7 - 9.

For a fundraiser, Chi and her class are having a talent show and charging $7 a ticket. There are 100 seats in the theater. The function T , gives the total for selling n tickets and is represented by T ( n ) = 7 n .

  1. Enter the minimum domain value.
  1. Enter the maximum domain value.
  1. Is 30 a possible output in the range?
  1. Yes
  2. No