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Creating a Table from a Function

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This document explains how to create a table from a function by plugging inputs into the function rule and organizing the resulting outputs into a table. It defines the function f(x)=3x-2, chooses the inputs -2, -1, 0, 1, 2, calculates the corresponding outputs by applying the function, and displays the inputs and outputs in a two-column table.

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Creating Tables from Functions
First,makesure youunderstand yourfunction. ? f(x) = 3x ¨C 2 is a function rule ? In words, it says ¡°the output is 3 times the input minus 2¡±
Next,comeup withyourplan ofaction. ? We want to pick some inputs, and use them to generate some outputs. ? We will call x-coordinates our inputs and y-coordinates our outputs. ? We will organize our coordinates using a table.
Let¡¯splugin-2,- 1,0,1,and2as ourinputs. ? For our function f(x) = 3x - 2: ? f(-2) = 3(-2) ¨C 2 = -6 ¨C 2 = -8 ? f(-1) = 3(-1) ¨C 2 = -3 ¨C 2 = -5 ? f(0) = 3(0) ¨C 2 = 0 - 2 = -2 ? f(1) = 3(1) ¨C 2 = 3 ¨C 2 = 1 ? f(2) = 3(2) ¨C 2 = 6 ¨C 2 = 4
Now,let¡¯smake ourtable. ? For our function f(x) = 3x - 2: x y -2 -8 -1 -5 0 -2 1 1 2 4

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Creating a Table from a Function