# Function Tables and Graphs. Function A function is when each input (x-value) corresponds to exactly one output (y- value) In other words, when you substitute.

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Function Tables and Graphs

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)

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

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

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

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

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

This should be an Olympic sport!

xy 0 2 5 -2 -5

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

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.

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

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

y = 4x – 3 xy 0 2 5 -2 -5

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.

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

xy 0 2 5 -2 -5

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

y = -3x + 3

x y

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