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

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

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.

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!

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.

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

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

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

Guided Practice!

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

Is it function?

Is it function?

Is it a function?

It is a function?

Independent Practice!

Ticket Out the Door

Part II: Using Function Notation

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.

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

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

Finish Guided Practice!

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