More on Functions

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)

Sketch the function below and evaluate at f(0), f(1), and f(2) f(x) = 1 – x x ≤ 1 x2 x > 1

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

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

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