Relations and functions remediation notes
- 1. Relations & Functions Remediation Notes
- 2. Vocabulary Relation Domain Range Function Vertical Line Test
- 3. What is a relation? A relation is a set of ordered pairs. { } means set (1, 2), (-1, 3), (-2, -5) are ordered pairs Now put this together and you have… {(1, 2), (-1, 3), (-2, -5)} a RELATION! Everything that is a set of points is a relation…don’t let the word relation confuse you.. especially on the EOC!
- 4. Domain INPUT **The domain is the set of x values What is the domain in the below relation? {(1, 2), (-1, 3), (-2, -5)} Domain: {1, -1, -2}
- 5. Range OUTPUT **The range is the set of y values What is the range in the below relation? {(1, 2), (-1, 3), (-2, -5)} Range: {2, 3, -5}
- 6. Functions How can you tell if a relation is a function? Mapping Domain does NOT repeat values, but range CAN Vertical Line Test
- 7. Functions How can you tell if a relation is a function? Mapping With mapping, we will check to see if every value of x (Domain) has only one mapping to a y value.
- 8. In Figure 1, 3 is mapped to 5 and 6…thus making this NOT A FUNCTION!
- 9. In Figure 2, All values in the domain are mapped to different range values…thus making this A FUNCTION!
- 10. Are Figures 3 & 4 Function? Figure 3 is a Function! Figure 4 is NOT a Function!
- 11. Functions How can you tell if a relation is a function? Domain does NOT repeat values {(1, 2), (-1, 3), (-2, -5)} Is this a Function? Do the x values repeat? No, the x values do not repeat…thus, this IS A FUNCTION!
- 12. Functions How can you tell if a relation is a function? Domain does NOT repeat values {(-1, 2), (-1, 3), (-2, -5)} Is this a Function? Do the x values repeat? Yes, the x values do repeat…thus, this IS NOT A FUNCTION!
- 13. Functions How can you tell if a relation is a function? Vertical Line Test A Vertical line goes in an Up and Down direction.
- 14. Functions How can you tell if a relation is a function? Vertical Line Test Does a vertical line cross through this graph more than once? 1 If so, then this relation 2 (graph) is NOT a function! Not A FUNCTION
- 15. Each graph to the right IS A FUNCTION! Notice the vertical line? It is only crossing the graphs once VERTICALLY!
- 16. Each graph to the right IS NOT A FUNCTION! Notice the vertical line? It is crossing each of the graphs more than once VERTICALLY!
- 17. You are now ready to begin the Remediation Assignment Good luck!