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Functions Teacher Twins©2014

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

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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

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

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

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

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

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

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

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

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

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

{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

ClosureFind the range of the function y = 4x if the domain is {-1, 0, 1, 2}.

{-4, 0, 4, 8}