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:
- Which of these functions grows the least quickly?
-
h(x)
-
g(x)
-
f(x)
- Which function grows the most quickly?
-
h(x)
-
g(x)
-
f(x)
- Which graph corresponds to ?
The three given graphs represent the functions , , and defined above.
-
Graph C
-
Graph B
-
Graph A
- Which graph corresponds to ?
-
Graph C
-
Graph B
-
Graph A
- Which graph corresponds to ?
-
Graph C
-
Graph B
-
Graph A
For questions 6 - 8, use the given graphs of three exponential equations.
- Which graph matches the equation
-
Graph M
-
Graph L
-
Graph K
- Which graph matches the equation
-
Graph M
-
Graph L
-
Graph K
- Which graph matches the equation
-
Graph M
-
Graph L
-
Graph K
For questions 9 - 10, use the graph below.
;
- Written in the form , what is the value of for each function?
- Which graph decreases the most quickly?
-
Graph C
-
Graph B
-
Graph A
The graphs of , , and are shown.
- Which is the graph of ?
-
Graph C
-
Graph B
-
Graph A
For questions 12 – 14, use the graph below:
- Which of the functions graphed, , has the smallest value for ?
-
F
-
E
-
D
-
C
-
B
-
A
- Which of the functions graphed, , has the lowest value for ?
-
F
-
E
-
D
-
C
-
B
-
A
- What is the equation of the horizontal asymptote for ?