function tables and graphs. function a function is when each input (x-value) corresponds to exactly...
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![Page 1: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/1.jpg)
Function Tables and Graphs
![Page 2: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/2.jpg)
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)
![Page 3: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/3.jpg)
Let me show you what I mean• Let’s use the function y = 2x + 5
y = 2(0) + 5 if x = 0 y = 5
x y
0 5
2
5
10
20
![Page 4: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/4.jpg)
Fill in the function table for the function y = 4x – 3
x y
0
2
5
10
20
![Page 5: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/5.jpg)
Fill in the function table for the function y = 4x – 3
x y
0 -3
2 5
5 17
10 37
20 77
![Page 6: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/6.jpg)
Fill in the function table for the function y = -3x + 5
x y
0
2
5
-2
-5
![Page 7: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/7.jpg)
Fill in the function table for the function y = -3x + 5
x y
0 5
2 -1
5 -10
-2 11
-5 20
![Page 8: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/8.jpg)
This should be an Olympic sport!
![Page 9: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/9.jpg)
Fill in the function table for the function y = x - 4
x y
0
2
5
-2
-5
![Page 10: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/10.jpg)
Fill in the function table for the function y = x - 4
x y
0 -4
2 -3
5 -1
-2 -5
-5 -6
![Page 11: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/11.jpg)
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.
![Page 12: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/12.jpg)
![Page 13: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/13.jpg)
Let’s Use the Functions We Worked With Earlier
y = 2x + 5
x y
0
2
5
-2
-5
![Page 14: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/14.jpg)
Let’s Use the Functions We Worked With Earlier
y = 2x + 5
x y
0 5
2 9
5 15
-2 1
-5 -5
![Page 15: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/15.jpg)
y = 4x – 3
x y
0
2
5
-2
-5
![Page 16: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/16.jpg)
y = 4x – 3
x y
0 -3
2 5
5 17
-2 -11
-5 -23
Two of our points go way off our graph.It helps to show how steep the slope is.
![Page 17: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/17.jpg)
y = -3x + 5
x y
0
2
5
-2
-5
![Page 18: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/18.jpg)
y = x - 4
x y
0
2
5
-2
-5
![Page 19: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/19.jpg)
![Page 20: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/20.jpg)
Closure
• With a partner, graph the function y = -3x + 3
![Page 21: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/21.jpg)
y = -3x + 3
![Page 22: 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](https://reader036.vdocuments.mx/reader036/viewer/2022062619/5519b3b955034660578b46db/html5/thumbnails/22.jpg)
x y