Examining Exponential Functions

  1. Graph fx=2x using the values in the table below

x / fx /
0
1
2
3
4
  1. Fill in the table below for fx=2x.

x / fx
-1
-2
-3
-4

As the value of x gets smaller, what happens to the value of 2x?

  1. Will the value of 2x ever equal 0? Explain.
  1. State the domain and range of fx=2x.

Domain: ______

Range: ______

  1. Is the graph increasing or decreasing?
  1. Now graph fx=3x using the values in the table below

x / fx /
-2
-1
0
1
2
3
  1. Is the graph increasing or decreasing?
  1. How does this graph compare to the graph fx=2x? (See question #1)

Note similarities and differences.

  1. Now graph fx=0.5x using the values in the table below

x / fx /
-2
-1
0
1
2
3
  1. Is the graph increasing or decreasing?
  1. How does this graph compare to the graph fx=2x? (See question #1)

Note similarities and differences.

  1. Is the function fx=2x an exponential growth or decay? Explain your answer.

(See question #1 for the graph)

  1. Is the function fx=0.5x an exponential growth or decay? Explain your answer.

(See question #1 for the graph)

  1. Complete the graphic organizer below. Compare exponential growth and decay.

fx=abx, where a>0 / GROWTH / DECAY
Value of b
General shape of graph
What happens to fx as x increases?
What happens to fx as x decreases?

Complete the following:

22=_____ / 32=_____ / 52=_____
23=_____ / 33=_____ / 53=_____
24=_____ / 34=_____ / 54=_____
25=_____ / 35=_____
26=_____
27=_____

Simplify:

15.  6423 / 16.  452
17.  8513 / 18.  2512+36122
19.  43.5 / 20. 32-35

Homework #7

Must be done on another sheet of paper

Simplify:

1.  1612 / 2.  8114 / 3.  16-12 / 4.  8134 / 5.  27-13 / 6.  36-32
7.  -6423 / 8.  43.5 / 9.  9161.5 / 10.  25-0.5 / 11.  4-2.5 / 12.  9-316
13.  275-215 / 14.  2713+6413 -2 / 15.  2723-32152

Identify as growth or decay. Graph.

16.  fx=4x / 17.  fx=0.4x / 18.  fx=6x / 19.  fx=0.6x