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This resource delves into the fundamentals of functions and their graphs in accordance with Common Core Standards. It explains the key concepts of relations, domains, and ranges, emphasizing that a function is a relation with a single output for each input. The vertical line test is introduced as a method to identify functions graphically. Furthermore, it covers the representation of functions through equations, the significance of ordered pairs as solutions, and distinguishes between independent and dependent variables. Ideal for reinforcing understanding of linear functions.
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Common Core Standards AREI-11 - Represent and solve equations and inequalities graphically
2.1 Functions and Their Graphs Relation – is a mapping, or pairing, of input values with output values Domain – set of input values Range – set of output values Function – relation that has exactly one output for each input
Diagrams are examples of mapping
Use the vertical line test to determine if the graph is a function.
Equation – representation of functions using 2 variables Solution – an ordered pair (x,y) such that when plugged in for x and y makes a true statement Independent variable – input value = x Dependent variable – output value = y Graph – collection of all points (x,y) whose coordinates are solutions of an equation
Linear function – a function whose graph forms a line, the highest power is 1 Notice function notation just replaces y with f(x)
Assign Pg 71-74 4, 17-27 odd, 30-32, 35-53 odd, 59-62
