1. An exponential function has the form
y = a (b)x
Exponential growth: b > 1
Exponential decay: 0 < b < 1

2. Sketch the graph of . Then state the function’s
domain and range.
x
–2
–1
0 1
1 4
2 16
Domain: all real numbers
Exponential
Growth
Range: all positive numbers

3. Graph
x (0.7)x
–2 2.04
–1 1.43
0 1
1 0.7
2 0.49
Exponential
decay

4. Determine whether each function represents
exponential growth or decay.
a. Answer: exponential decay
b. Answer: exponential growth
c. Answer: exponential decay

5. Simplify .
Simplify .

6. Solve

7. Solve