Unit 4 Functions Lesson 1 Identifying Functions Lesson
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Unit 4 Functions Lesson 1 Identifying Functions
Lesson 1: Identifying Functions Objective: Swbat identify a function using a table, graph or equation. Do Now: Define Function is a relationship in which each input(x) has exactly one output(y).
Lesson 1: Identifying Functions Relation – is any set of ordered pairs, that can be represented as a table and as a graph. Table Graph X Y 2 3 1 1 0 -1 -1 -3 Ordered Pairs: (2, 3) (1, 1) (0, -1) (-1, -3) Equation: y = 2 x - 1 Domain – is the set of x coordinates {2, 1, 0, -1} Range – is the set of y coordinates {3, 1, -3}
Lesson 1: Identifying Functions Function is a relationship in which each input(x) has exactly one output(y). Mapping 2 1 0 -1 3 1 -1 -3
Lesson 1: Identifying Functions Relation: {(2, 6), (1, 1), (-1, -9), (0, -4)} Express as a: - table - graph - mapping - equation Is it a function?
Lesson 1: Identifying Functions To test whether a table or set of ordered pairs is a function, see if every x-value has exactly one y-value. Ordered Pairs (0, 4), (-2, 1) (2, 4) (-1, 2) Mapping 2 0 -1 -2 4 2 1
Lesson 1: Identifying Functions To test whether a table or set of ordered pairs is a function, see if every x-value has exactly one y-value. Ordered Pairs (0, 4), (-2, 1) (2, 4) (-1, 2) Mapping It is a function 2 0 -1 -2 4 2 1
Lesson 1: Identifying Functions To test whether a table or set of ordered pairs is a function, see if every x-value has exactly one y-value. Ordered Pairs (2, 4), (-1, 1) (2, 6) (1, 2) Mapping 2 1 -1 6 4 2 1
Lesson 1: Identifying Functions To test whether a table or set of ordered pairs is a function, see if every x-value has exactly one y-value. Ordered Pairs (2, 4), (-1, 1) (2, 6) (1, 2) Mapping Not a function 2 1 -1 6 4 2 1
Lesson 1: Identifying Functions If a graph represents a function it should pass the vertical line test. - any vertical line drawn on the graph should intersect at exactly one point
Lesson 1: Identifying Functions Using the vertical line test.
Lesson 1: Identifying Functions Equations that represent a function should only have one output. Functions Not Functions y = 2 x y 2 = x y = 2 x + 5 x 2 + y 2 = 16 y = x 2 49 - x 2 = y 2 y = x 2 – 4
Real-World Problem It costs $2 per hour to park at the amusement park. a. ) Make a table of ordered pairs in which x represents hours and y represents cost for 3, 4, 5, 6 hours b. ) Graph the ordered pairs c. ) Is the relation a function?
Practice • Guided Practice #1 - 4 • Independent Practice #1 - 5 • Extra Practice #10 - 13 • Practice (Functions) & Skills (Relations) • Functions (Graphs and Tables) • Handout 1
Closure Question: How do you identify functions from tables, graphs and equations? Exit Ticket Homework: Homework 1
Exit Ticket State if the relation is a function or not. 1. (-2, 0) (1, 3) (3, 2) (1, 5) 2. x y 3 2 4 2 6 1 3. y = 3 x – 4 4. x 2 + y 2 = 36
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