1. Warm Up (5 minutes) Copy the problems and follow the instruction.
Simplify the following expressions by combining like-terms:
4x2 - 2y + 4y + 8x2 -2(x + 3)
7xy + 8x – 4y + 3xy – 6x + 2

2. Agenda Warm Up P.B.I.S. Quiz Unit 3 Lesson 1 Homework
Part I: Identifying functions
Ticket out the Door
Part : Evaluating functions
Homework
USATESTPREP assignment

3. Standards and Learning Targets
F.IF.1 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y=f(x).
F.IF.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
SWBAT identify whether a relation is a function by looking at a graph, table of values, or an equation.
SWBAT use function notation to evaluate the output of a function given a particular input.

4. Important Vocabulary Relation – Any set of input that has an output
Function – Is a relation that every single input has exactly one output
Input (x-coordinates) is also called the Domain
Output (y-coordinates) is also called the Range
Include these as important vocabulary words too!

5. Determining if a Relation is a Function
If we are looking at a table of values, each input must have EXACTLY ONE output.
If we are looking at a graph of values, we must use the vertical line test.
No vertical line can pass through TWO OR MORE points on the graph.

6. Example 1 Does this relationship represent a function? Yes, no, why?
If it is a function, what is the domain and range?

7. Example 2 Does this relationship represent a function? Yes, no, why?
If it is a function, what is the domain and range?

8. Example 3 Do the relationships represent functions?
If it is a function, what is the domain and range?

9. Guided Practice!

10. Is it a function?
(3,2) (4,3) (5,4) (6,5)

11. Is it function?

12. Is it function?

13. Is it a function?

14. It is a function?

15. Independent Practice!

16. Ticket Out the Door

17. Part II: Using Function Notation

18. Using Function Notation!
Function notation is A WAY TO NAME A FUNCTION. It is pronounced “f of x” .
f(x) is a fancy way of writing “y” in an equation.

19. Example 1
Evaluate f(x) = x2 – 2x + 3 when X = -3 and X =4

20. Guided Practice 1
Evaluate for when x = 3, x = 0 and x = -2 f(x) = 2x - 5

21. Finish Guided Practice!

22. Independent Practice Find the indicated values using the graph
Examples
a) h(2) = _6_
e) h(_8_) = 4