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Types of functions:

Types of functions:. Linear. Quadratic. Absolute Value. Exponential. Constant. Polynomial. Step. Trigonometric. Logarithmic. Square Root Functions. Rational Functions. Vocabulary. Relation – a set of ordered pairs Example – {(-1,1), (2,3), (2,1), (2,-1), (5,1)}.

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Types of functions:

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  1. Types of functions:

  2. Linear

  3. Quadratic

  4. Absolute Value

  5. Exponential

  6. Constant

  7. Polynomial

  8. Step

  9. Trigonometric

  10. Logarithmic

  11. Square Root Functions

  12. Rational Functions

  13. Vocabulary • Relation – a set of ordered pairs Example – {(-1,1), (2,3), (2,1), (2,-1), (5,1)}

  14. Function – a relation for which each x corresponds to exactly one y Use the vertical line test to determine if a relation is a function. A relation is a function if there are no vertical lines that intersect the graph at more than one point. Vertical Line Test This graph is a function since there are no vertical lines that hit the graph more than once.

  15. Ways of showing functions: • Graphically- use vertical line test!

  16. Ways of showing functions: • Equations - use your calculator to see the graph

  17. Tables (functions have no repeated x’s) Ex of function ex of non-function

  18. Mappings – look to see if every element of the first set has ONLY ONE element it matches in the second set.

  19. Set notation (set builder and interval notation) • Set builder notation: • The set {x : x > 0} is read aloud, "the set of all • xsuch that x is greater than 0." • The set {x: x ≠ 3} is the set of all real • numbers except 3 • The set {x | -2 < x < 5} is the set of numbers • such that values of x are greater than • negative 2 and less than 5.

  20.  Interval notation: • A notation for representing an interval as a pair of numbers. The numbers are the endpoints of the interval. Parentheses and/or brackets are used to show whether the endpoints are excluded or included. For example, [3, 8) is the interval of real numbers between 3 and 8, including 3 and excluding 8. • Another example: • The interval: which includes -1 and excludes 2.

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