functions teacher twins©2014. warm up solve each equation. 1.2x – 6 = 22 2.3 + 5x = -32 3.x + 29...
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![Page 1: Functions Teacher Twins©2014. Warm Up Solve each equation. 1.2x – 6 = 22 2.3 + 5x = -32 3.X + 29 = 14 4.6x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e455503460f94b3946d/html5/thumbnails/1.jpg)
Functions
Teacher Twins©2014
![Page 2: Functions Teacher Twins©2014. Warm Up Solve each equation. 1.2x – 6 = 22 2.3 + 5x = -32 3.X + 29 = 14 4.6x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e455503460f94b3946d/html5/thumbnails/2.jpg)
Warm UpSolve each equation.
1. 2x – 6 = 222. 3 + 5x = -323. X + 29 = 144. 6x – 5 – 4x = 17
x = 14 x = - 7x = -15
x = 11
![Page 3: Functions Teacher Twins©2014. Warm Up Solve each equation. 1.2x – 6 = 22 2.3 + 5x = -32 3.X + 29 = 14 4.6x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e455503460f94b3946d/html5/thumbnails/3.jpg)
Functions
![Page 4: Functions Teacher Twins©2014. Warm Up Solve each equation. 1.2x – 6 = 22 2.3 + 5x = -32 3.X + 29 = 14 4.6x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e455503460f94b3946d/html5/thumbnails/4.jpg)
What is a Function?
![Page 5: Functions Teacher Twins©2014. Warm Up Solve each equation. 1.2x – 6 = 22 2.3 + 5x = -32 3.X + 29 = 14 4.6x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e455503460f94b3946d/html5/thumbnails/5.jpg)
What is a Function?Each input value gives back exactly one output value.
Example: Input 7 into y = 2x + 9. y = 2(7) + 9
y = 23Input is 7 output is 23.
x = 7
![Page 6: Functions Teacher Twins©2014. Warm Up Solve each equation. 1.2x – 6 = 22 2.3 + 5x = -32 3.X + 29 = 14 4.6x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e455503460f94b3946d/html5/thumbnails/6.jpg)
Find the output when given the input for the function. y = x - 5
Remember x is the input and y is the output.-6
-5-4-3
![Page 7: Functions Teacher Twins©2014. Warm Up Solve each equation. 1.2x – 6 = 22 2.3 + 5x = -32 3.X + 29 = 14 4.6x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e455503460f94b3946d/html5/thumbnails/7.jpg)
Complete the function table.
-1 - 10
0 - 10
1 - 10
2 - 10
- 11
- 10
- 9
- 8
![Page 8: Functions Teacher Twins©2014. Warm Up Solve each equation. 1.2x – 6 = 22 2.3 + 5x = -32 3.X + 29 = 14 4.6x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e455503460f94b3946d/html5/thumbnails/8.jpg)
Another name for the input (x value) is domain.
Another name for the output (y value) is range.
![Page 9: Functions Teacher Twins©2014. Warm Up Solve each equation. 1.2x – 6 = 22 2.3 + 5x = -32 3.X + 29 = 14 4.6x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e455503460f94b3946d/html5/thumbnails/9.jpg)
What is the domain? What is the range?
(-3, 8), (0,7), (-4,-6), (2, -5)
Domain = - 4, - 3, 0, 2
Range = - 6, - 5, 7, 8
![Page 10: Functions Teacher Twins©2014. Warm Up Solve each equation. 1.2x – 6 = 22 2.3 + 5x = -32 3.X + 29 = 14 4.6x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e455503460f94b3946d/html5/thumbnails/10.jpg)
{10, 40, 61}
![Page 11: Functions Teacher Twins©2014. Warm Up Solve each equation. 1.2x – 6 = 22 2.3 + 5x = -32 3.X + 29 = 14 4.6x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e455503460f94b3946d/html5/thumbnails/11.jpg)
ClosureFind the range of the function y = 4x if the domain is {-1, 0, 1, 2}.
{-4, 0, 4, 8}