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Practice

4.3.5 Practice

4.3.5 • Practice

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

  1. Function f gives the temperature, in degrees Celsius, t  hours after midnight.

    Choose which equation or expression represents the statement in function notation.
  1. The temperature was the same at 9 a.m. and at 4 p.m.
  1. f ( 9 ) = f ( 16 )
  2. f ( 9 ) = f ( 4 )
  1. It was warmer at 9 a.m. than at 6 a.m.
  1. f ( 9 ) < f ( 6 )
  2. f ( 9 )  >  f ( 6 )
  1. Some time after midnight, the temperature was 24 degrees Celsius.
  1. f ( 12 ) = 24
  2. f ( t ) = 24
  3. f ( 0 ) < 24
  4. f ( 24 ) = t
  1. Select the two points that are on the graph of f if we know that f ( 2 ) = − 4 and f ( 5 ) = 3.4 .
  1. (–4, 2)
  2. (2, –4)
  3. (3.4, 5)
  4. (5, 3.4)
  5. (2, 5)
  1. Looking at the graph of the function g , below, which is greater, g ( − 5 ) or g ( 5 ) ?

A GRAPH OF FUNCTION G. THE GRAPH PASSES THROUGH THE POINTS (−5, 2) AND (5, −3).

  1. g ( − 5 )
  2. g ( 5 )
  1. The function T tells how many people are living on floor n of an apartment building. What does T ( 4 ) = 82 mean?
  1. There are 4 people living on floor 82.
  2. There are 82 people living on floor 4.
  1. The function, T , gives the temperature of a house, in degrees Fahrenheit, h hours after midnight. Choose which function notation represents the temperature at 6 a.m. was 70 degrees.
  1. 70 ( T ) = 6
  2. 6 ( T ) = 70
  3. T ( 6 ) = 70
  4. T ( 70 ) = 6
  1. The graph below represents a function, f , which gives the height of a drone, in meters, t seconds after it leaves the ground. Which statement describes the point f ( 2 ) = 4 ?
    2. Graph. Horizontal axis, 0 to 8, time, seconds. Vertical axis, height, meters. Starting at 0 comma 0, the graph increases linearly. From 2 to 6, it’s horizontal. Then decreases linearly to 7 comma 0.
  1. The height of the drone after 4 seconds is 2 meters off the ground.
  2. The height of the drone after 2 seconds is 4 meters off the ground.