1. Functions
Section 5.1

2. Functions
A special relation.
A relation in which each element of the domain is paired with exactly 1 element of the range
(For every x there is only one y)

3. Domain:
The possible x values – also known as the input variables.
Range:
The possible y values – also known as the output variables.

4. Is it a function? Give the Domain & Range.X Y 3 8 4 7 5 9 6 10

5. Is it a function? Give the domain and range.X Y 3 2 4 -1 6 5

6. Is it a function? Give the domain & range.X Y 3 -2 6 8 7 10

7. Is it a function? Give the domain & range.
{(4, 3), (7, 1), (12, 3), (8, 9)}
{(3, 1), (7, 2), (4, 9), (3, 7)}

8. Is it a function? Give the domain & range.-2 3 5 7 8 -5 6 8 12

9. Is it a function? Give the domain & range.-7 -8 2 4 -1 2 4 6

10. Is it a function? Give the domain & range.-3 -1 2 6 -7 -5 3 4

11. Vertical Line Test
It’s a function if the vertical line intersects the graph no more than once.

12. Is it a function? Give the domain & range.

13. Is it a function? Give the domain & range.

14. Is it a function? Give the domain & range.

15. Is it a function? Give the domain & range.

16. Is it a function? Give the domain & range.

17. Discrete
Graph whose points are not connected

18. Continuous
Graph whose points are connected

19. Function Notation: f(x)
Read “f of x” or “f in terms of x”
f(x) is the output (range) variable and x is the input (domain) variable.

20. Using function notation:
Find:

21. Using function notation:
Find:

22. Using function notation:
Find:

23. Using function notation:
Find:

24. Using function notation:
Find:

25. Using function notation:
Find:

26. Homework
Worksheet