1. Characteristics of Functions

2. Intercepts (aka “zeros”)
x-intercept – the point at which the line intersects the x-axis at (x, 0)
y-intercept – the point at which the line intersects the y-axis at (0, y)

3. Example 1: Finding the Zeros

4. Example 2: Find the y-intercept

5. Increasing/Decreasing Behavior
Move left to right
If your finger is moving UP then the function is increasing
If your finger is moving DOWN then the function is decreasing
If your finder isn’t moving up or down, than your function is CONSTANT

6. Example 1: Are the functions increasing, decreasing or neither?

7. Rate of Change
Rate of Change is the average amount of change in her y-values.
Rate of Change is essentially the SLOPE.

8. Example: Rate of Change with Points
Find the rate of change, given the following points:
(2,3) and (1,4)

9. Example: Rate of Change with functions
Find the average rate of change for f(x) = ½x + 4 from [0,3]

10. Guided Practice