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Function Tables and Graphs

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Function A function is when each input (x-value) corresponds to exactly one output (y- value) In other words, when you substitute (x) into an equation there is only one possible answer (y)

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Let me show you what I mean Lets use the function y = 2x + 5 y = 2(0) + 5 if x = 0 y = 5 xy 05 2 5 10 20

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Fill in the function table for the function y = 4x – 3 xy 0 2 5 10 20

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Fill in the function table for the function y = 4x – 3 xy 0-3 25 517 1037 2077

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Fill in the function table for the function y = -3x + 5 xy 0 2 5 -2 -5

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Fill in the function table for the function y = -3x + 5 xy 05 2 5-10 -211 -520

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This should be an Olympic sport!

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xy 0 2 5 -2 -5

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xy 0-4 2-3 5 -2-5

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Graphing a Function from a Function Table When given a function you can graph it by creating a function table and plotting the points you generate. You can pick any points for x and substitute them into the function for the output y You should plot at least 5 points to get a good idea of what your graph looks like: 0, two positive numbers, and two negative numbers.

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Lets Use the Functions We Worked With Earlier y = 2x + 5 xy 0 2 5 -2 -5

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Lets Use the Functions We Worked With Earlier y = 2x + 5 xy 05 29 515 -21 -5

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y = 4x – 3 xy 0 2 5 -2 -5

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y = 4x – 3 xy 0-3 25 517 -2-11 -5-23 Two of our points go way off our graph. It helps to show how steep the slope is.

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y = -3x + 5 xy 0 2 5 -2 -5

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xy 0 2 5 -2 -5

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Closure With a partner, graph the function y = -3x + 3

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y = -3x + 3

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x y

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Chapter 2 Functions and Linear Equations. Functions vs. Relations A "relation" is just a relationship between sets of information. A “function” is a well-behaved.

Chapter 2 Functions and Linear Equations. Functions vs. Relations A "relation" is just a relationship between sets of information. A “function” is a well-behaved.

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