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Algebra 1

5.12.5 Practice

Algebra 15.12.5 Practice

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

For questions 1 - 5, use the the three exponential functions defined below:

  • f ( x ) = 100 3 x
  • g ( x ) = 100 ( 3.5 ) x
  • h ( x ) = 100 4 x
  1. Which of these functions grows the least quickly? 
  1. h(x)
  2. g(x)
  3. f(x)
    1. Which function grows the most quickly?
  1. h(x)
  2. g(x)
  3. f(x)

    The three given graphs represent the functions f , g , and h defined above.




    1. Which graph corresponds to f ( x ) ?
  1. Graph C
  2. Graph B
  3. Graph A
  1. Which graph corresponds to g ( x ) ?
  1. Graph C
  2. Graph B
  3. Graph A
  1. Which graph corresponds to h ( x ) ?
  1. Graph C
  2. Graph B
  3. Graph A
For questions 6 - 8, use the given graphs of three exponential equations.
      1. Which graph matches the equation y = 20 3 x
  1. Graph M
  2. Graph L
  3. Graph K
      1. Which graph matches the equation y = 50 3 x
  1. Graph M
  2. Graph L
  3. Graph K
      1. Which graph matches the equation y = 100 3 x
  1. Graph M
  2. Graph L
  3. Graph K

For questions 9 - 10, use the graph below.


;

    1. Written in the form f ( x ) = a b x , what is the value of a  for each function?
    1. Which graph decreases the most quickly?

  1. Graph C
  2. Graph B
  3. Graph A

The graphs of y = 50 2 x , y = 200 2 x , and y = 100 2 x are shown.



  1. Which is the graph of y = 100 2 x ?

  1. Graph C
  2. Graph B
  3. Graph A

For questions 12 – 14, use the graph below:

Graph of six exponential functions.

  1. Which of the functions graphed, y = a b x , has the smallest value for a ?
  1. F
  2. E
  3. D
  4. C
  5. B
  6. A
  1. Which of the functions graphed, y = a b x , has the lowest value for b ?
  1. F
  2. E
  3. D
  4. C
  5. B
  6. A
  1. What is the equation of the horizontal asymptote for f ( x ) = 5 2 x 3 ?
  1. y = 5
  2. y = 3
  3. y = 3
  4. y = 2
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