1. More on Functions

2. Evaluating Functions
Functions can be evaluated at any point in their domain
Example: For f(x) = 3x2 – x + 2, find:
f(0)
f(-1)
f(2a)
f(x + h)
2f(x)

3. Sketch the function below and evaluate at f(0), f(1), and f(2)
f(x) = – x x ≤ 1
x x > 1

4. Even Function Satisfies the rule f(-x) = f(x) for every value of x
Symmetric about the y-axis
Example: y = x2

5. Odd Function Satisfies the rule f(-x) = - f(x)
Symmetric with respect to the origin
Example: y = x3

6. Determine if odd, even or neither. If symmetric, sketch.
f(x) = x5 + x
f(x) = 1 – x4
f(x) = 2x – x2