1. Functions
Teacher Twins©2014

2. Warm Up Solve each equation. 2x – 6 = 22 3 + 5x = -32 x + 29 = 14

3. Functions

4. What is a Function?

5. What is a Function?
Each input value gives back exactly one output value.
Example: Input 7 into y = 2x + 9.
x = 7
y = 2(7) + 9
y = 23
Input is 7 output is 23.

6. Ex 1: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

7. x x - 10 Ex 2: Complete the function table. y -1 1 2 -1 – 10 -111 2
-1 – 10
-11
0 – 10
-10
1 – 10 -9
2 – 10 -8

8. x x + 4 Ex 3: Complete the function table. y -2 2 4 -2 + 4 2 0 + 4 42 4
-2 + 4 2
0 + 4 4
2 + 4 6
4 + 4 8

9. Another name for the input (x value)
is domain.
Another name for the output (y value) is range.

10. Ex 4: 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

11. Ex 5:Find the range of the function for the given domain.
y = 3x – 5 {5, 15, 22}
{10, 40, 61}

12. Closure
Find the range of the function y = 4x if the domain is {-1, 0, 1, 2}.
{-4, 0, 4, 8}