1. Section 3.3 – Rates of Change and Behavior of Graphs

2. Average Rate of Change

3. Average Rate of Change

4. Average Rate of Change

5. Average Rate of Change

6. Difference Quotient
For each function f, construct and simplify the difference quotient:

7. Difference Quotient
For each function f, construct and simplify the difference quotient:

8. Increasing, Decreasing or Constant

9. Increasing, Decreasing or Constant
Determine intervals on which the function is
(a) increasing, (b) decreasing and (c) constant.
Determine the domain and range.
x-values
****All intervals should be open when determining increasing/decreasing/constant. Endpoints can be closed. 6.
Increasing:
Decreasing:
Constant:
Domain:
Range:

10. Increasing, Decreasing or Constant
Determine intervals on which the function is
(a) increasing, (b) decreasing and (c) constant.
Determine the domain and range.
x-values
****All intervals should be open when determining increasing/decreasing/constant. Endpoints can be closed. 7.
Increasing:
Decreasing:
Constant:
Domain:
Range:

11. Local Maxima or Minima
A relative min or max is a “low point” or “high point.”

12. Local Maxima or Minima
Using the graph, determine any relative(local) maxima or minima of the function and the intervals on which the function is increasing or decreasing.
State the domain and range. 8.
Local Min of 2 at x = 1
Increasing:
Decreasing:
Domain:
Range: