1. 3.3 Library of Functions, Piecewise-Defined Functions

2. f(x)=mx+b A linear function is a function of the form
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 y b x

4. Identity function is a function of a form:
f(x)=x
(1,1)
(0,0)

5. The square function

6. Cube Function

7. Square Root Function

8. Reciprocal Function

9. Absolute Value Function
f(x) = |x|

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

11. For the following function
a) Find f(-1), f(1), f(3).
b) Find the domain.
c)Sketch the graph.

12. a)
f(1) = 3
f(-1) = = 2
f(3) = = 0 b)

13. c)