1. Pre-Calculus 1.2 Kinds of Functions
Objective: The student will be able to make connections among the algebraic equation for a function, its name, and its graph.

2. Terminologies: Relation – any set of ordered pairs
Function – set of ordered pairs in which every x has only one y
Y-intercept – where a graph crosses the y-axis (value of x = 0)
X-intercept – where a graph crosses the x-intercept (value of y = 0)
F(x) – Euler’s notation. another way to represent y

3. Terminologies: Independent vs. Dependent Variables
Domain – set of values of the independent variable “x”
Range – Set of values of the dependent variable “y”
Asymptote – vertical or horizontal “imaginary” line that the function approaches but never actually meets

4. Terminologies (con’t)
Extrapolation – extending a graph beyond all given data.
Interpolation – estimating a value within the given data

5. Types of functions: Quadratic* Linear* Power* Exponential* Polynomial
Direct Variation
Inverse Variation
Rational Algebraic

6. Quadratic
Graph

7. Linear
Graph

8. Power
Graph

9. Exponential
Graph

10. Polynomial
Graph

11. Direct Variation
Graph

12. Inverse variation
Graph

13. Rational Algebraic
Non-removable discontinuity 
Graph

14. Restricted Domains/Boolean Variables