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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.

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Presentation on theme: "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."— Presentation transcript:

1 Function Tables and Graphs

2 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)

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

4 Fill in the function table for the function y = 4x – 3 xy

5 Fill in the function table for the function y = 4x – 3 xy

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

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

8 This should be an Olympic sport!

9 xy

10 xy

11 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.

12

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

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

15 y = 4x – 3 xy

16 y = 4x – 3 xy Two of our points go way off our graph. It helps to show how steep the slope is.

17 y = -3x + 5 xy

18 xy

19

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

21 y = -3x + 3

22 x y


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