1. Honors Pre-Calculus Library of Functions, Piecewise- Defined Functions

2. A linear function is a function of the form f(x)=mx+b The graph of a linear function is a line with a slope m and y-intercept b. (0,b)

3. A constant function is a function of the form f(x)=b b x y

4. The square function

5. Cubic Function (1,1) (-1,-1)

6. Square Root Function

7. Rational Function (1,1) (-1,-1)

8. Absolute Value Function (1,1) (-1,1)

9. When functions are defined by more than one equation, they are called piece-wise defined functions.

10. Piecewise Function: a) Find f(-1), f(1), f(3). b) Find the domain. c)Sketch the graph. a) f(1) = 3 f(-1) = -1 + 3 = 2 f(3) = -3 + 3 = 0

11. c)