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Practice

4.4.5 Practice

4.4.5 • Practice

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

  1. Match each equation with a verbal description that represents the same function.
  1. f ( x ) = 2 x + 4
  1. To get the output, multiply the input by 4, then add 2 to the result.
  2. To get the output, multiply the input by 2, then add 4 to the result.
  3. To get the output, add 2 to the input, then multiply the result by 4.
  4. To get the output, add 4 to the input, then multiply the result by 2.
  1. g ( x ) = 2 ( x + 4 )
  1. To get the output, multiply the input by 4, then add 2 to the result.
  2. To get the output, multiply the input by 2, then add 4 to the result.
  3. To get the output, add 2 to the input, then multiply the result by 4.
  4. To get the output, add 4 to the input, then multiply the result by 2.
  1. h ( x ) = 4 x + 2
  1. To get the output, multiply the input by 4, then add 2 to the result.
  2. To get the output, multiply the input by 2, then add 4 to the result.
  3. To get the output, add 2 to the input, then multiply the result by 4.
  4. To get the output, add 4 to the input, then multiply the result by 2.
  1. k ( x ) = 4 ( x + 2 )
  1. To get the output, multiply the input by 4, then add 2 to the result.
  2. To get the output, multiply the input by 2, then add 4 to the result.
  3. To get the output, add 2 to the input, then multiply the result by 4.
  4. To get the output, add 2 to the input, then multiply the result by 2.
  1. Functions A and B are defined by these equations.

    A ( x ) = 25 + 10 x
    B ( x ) = 80 − 15 x

    Which function has a greater value when x is 2.5?
  1. A ( x ) = 25 + 10 x
  2. B ( x ) = 80 − 15 x
  1. Which function is greater when x = 4 ?
  1. f ( x ) = x − 10
  2. f ( x ) = − 5 x + 2
  3. f ( x ) = − 3 x + 1
  4. f ( x ) = 2 x − 7
  1. Which function rule describes the table below:
x 2 3 4 5 6
y 3 5 7 9 11
  1. f ( x ) = x + 2
  2. f ( x ) = 2 x − 1
  3. f ( x ) = 3 x − 3
  4. f ( x ) = x + 1
  1. Write a function g ( x ) for the following statement: to get the output, subtract 4 from the input, then multiply the result by 2.
  1. g ( x ) = 2 ( x − 4 )
  2. g ( x ) = x − 8
  3. g ( x ) = − 4 − 2 x
  4. g ( x ) = 2 x − 4
  1. Write a function h ( x ) for the following statement: to get the output, multiply the input by 5 and then add 2.
  1. h ( x ) = x + 2
  2. h ( x ) = x + 2 ( 5 )
  3. h ( x ) = 5 x + 2
  4. h ( x ) = 5 ( x + 2 )
  1. Find the value of f ( x ) = − 2 x − 3 when x = 2 .
  1. –7
  2. –1
  3. 1
  4. 7
  1. Examine the table below. Find g ( 2.5 ) using the rule for this table.
x 1 2 3 4
g ( x ) 2 6 10 14