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## Introduction to Functions

### Mathematics, Grade 6

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x y -5 -4 -3 -2 -1 -10 -9 -8 -7 -6 1 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 0 (-2 , -6) (-1 , -2) (0 , 2) (1 , 6) (2 , 10) Graphing Linear Functions A function is a rule that is performed on a number, called an input, to produce a result called an output. x is the input y is the output By substituting a number for X, an output can be determined. Graph the functions described by the equation: Make a function table Graph the ordered pairs on a coordinate plane. Draw a line through the points which represent the values of the ordered pairs. A graph of a linear function can be used to find the value of y for a given value of x. A table can be used to show input and output values. y = 2x + 3 is an example of a function y = 4x + 2 y = 2x + 3 7 output 2 input Input 1 2 3 4 5 6 7 8 9 10 5 7 9 11 13 15 17 19 21 23 Output Output Input Function (4x + 2) Ordered Pairs (x, y) -2 -1 0 1 2 -6 -2 2 6 10 4 (-2) + 2 4 (-1) + 2 4 (0) + 2 4 (1) + 2 4 (2) + 2 (-2, -6) (-1, -2) (0, 2) (1, 6) (2, 10) © Copyright NewPath Learning. All Rights Reserved. 93-4603 www.newpathlearning.com Introduction to Functions
x y -5 -4 -3 -2 -1 -10 -9 -8 -7 -6 1 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 0 Graphing Linear Functions A function is ________________________________ _____________________________________________ ____________________________________________ . x is the input y is the output By substituting a number for , an can be determined. Graph the functions described by the equation: Make a function table Graph the ordered pairs on a coordinate plane. Draw a line through the points which represent the values of the ordered pairs. A graph of a linear function can be used to find the value of for a given value of . A table can be used to show input and output values. y = 2x + 3 is an example of a function y = 4x + 2 y = 2x + 3 output 2 input Input 1 2 3 4 5 6 7 8 9 10 Output Output Input Function (4x + 2) Ordered Pairs (x, y) -2 -1 0 1 2 Key Vocabulary Terms coordinate plane equation function input linear function ordered pair output © Copyright NewPath Learning. All Rights Reserved. 93-4603 www.newpathlearning.com Introduction to Functions \|xiBAHBDy01671nzW