1. Section 2-1: Functions and Relations
Learning Target: I can determine if a function is a relation.

2. Opening Question?
What is a function?

3. Definitions:
One to one: each element of the domain pairs to exactly one unique element of the range.
Onto: Each element of the range corresponds to an element of the domain.
Both one to one and onto: both are satisfied

4. Domain/Range Domain values are ___________________ coordinates.
Range values are ____________________ coordinates.

5. Relations:
Discrete: a relation in which the domain is a set of individual points
Continuous: a relation that has an infinite number of elements and the relation can be graphed with a line or smooth curve

6. Example: Determine the domain and range:
1. [(-6,-1),(-5,-9),(-3,-7), (-1,7), (6,-9)]
Does the set of coordinates create a function?
Is the set one to one?
Is the set onto?

7. Vertical Line Test
Question: What is the purpose of the vertical line test?

8. Independent/Dependent Variable:
Independent: most often associated with x value of function
Dependent: most often associated with y value of function
Independent can also be inferred as input value, and dependent is output value.

9. Examples:
1. Given 𝑓 𝑥 = 2𝑥 2 −8, find each value.
A. 𝑓(6) B. 𝑓(2𝑦)