1 / 9

4.6 – Formalizing Relations and Functions

4.6 – Formalizing Relations and Functions. Vocab, Vocab, Vocab!!. Relation – a pairing of numbers in one set with numbers in another set. Domain – the set of x-values of a relation Range – the set of y-values of a relation.

caprice
Download Presentation

4.6 – Formalizing Relations and Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 4.6 – Formalizing Relations and Functions

  2. Vocab, Vocab, Vocab!! • Relation – a pairing of numbers in one set with numbers in another set. • Domain – the set of x-values of a relation • Range – the set of y-values of a relation

  3. Identify the domain and range of each relation. Represent the relation with a mapping diagram. Is the relation a function? {(-2, 0.5), (0, 2.5), (4, 6.5), (5,2.5)} DOMAIN: {-2, 0, 4, 5} RANGE: {0.5, 2.5, 6.5} Domain Range -2 0 4 5 0.5 2.5 6.5 Yes, the relation is a function because each domain value is mapped to one range value.

  4. Identify the domain and range of each relation. Represent the relation with a mapping diagram. Is the relation a function? {(6, 5), (4, 3), (6, 4), (5, 8)} Domain Range DOMAIN: {4, 5, 6} RANGE: {3, 4, 5, 8} 3 4 5 8 4 5 6 No, the relation is not a function because the domain value 6 is mapped to two range values.

  5. And more vocab! 4. Vertical Line Test – another way to decide if a relation is a function. If a vertical line crosses a graph only once, then the relation is a function If a vertical line crosses a graph more than once, then the relation is not a function.

  6. Are the following relations functions? Use the vertical line test.

  7. Just one more vocab word! 5. Function Notation: replacing y with f(x) in an equation that represents a function. Example: f(x) = -3x + 1

  8. Find the range for each function for the given domain. • f(x) = 5x – 2; {-1, 3, 10} • f(x) = |x – 2|; {-3, 0, 4}

  9. Homework Page 272 # 8 – 15, 18 – 21, 24 - 25

More Related