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Functions

Functions. Domain and Range. Relations. A group of deer is called a herd. A group of geese is called a flock. Along these lines a group of ordered pairs is called a relation. Domain. As you get older, the definition of “domain” will grow.

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Functions

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  1. Functions Domain and Range

  2. Relations A group of deer is called a herd. A group of geese is called a flock. Along these lines a group of ordered pairs is called a relation.

  3. Domain As you get older, the definition of “domain” will grow. We will start your understanding by defining domain as the set of all x-values for the ordered pairs in the relation.

  4. Range Along those same lines, the range of relation is the set of all y-values of the ordered pairs.

  5. Domain and Range When writing the domain and range: • Do not repeat values. • Place values in order. **Remember! “domain comes before range alphabetically, x comes before y”

  6. Helpful Hints • Write down the x-values or y-values. • Cross off numbers that repeat. • Place values in order.

  7. Domain and Range Ex. 1: Identify the domain and range for the following relation: {(1,3), (-2,5), (0,2), (4,-3), (-1,-2)} Domain (x-values) = {-2, -1, 0, 1, 4} Range (y-values) = {-3, -2, 2, 3, 5}

  8. Domain and Range Ex. 2: Identify the domain and range for the following relation: {(-2,3), (1,0), (0,3), (-1,1), (0,0)} Domain ={-2, -1, 0, 1} Range={0, 1, 3}

  9. Functions A function is a relation where each x-value is assigned exactly one y-value. The shortcut explanation is that if an x-value repeats, it has the same y-value each time.

  10. Functions Ex. 3: Given the following relation, determine the domain and range and if it is a function or not. {(4,5), (-2,3), (0,2), (-1,-3), (2,4), (1,6)} Domain = {-2, -1, 0, 1, 2, 4} Range = {-3, 2, 3, 4, 5, 6} Since each x-value has only one y-value, this is a function.

  11. Homework Pg. 389-390 #1-6, 13-18 Functions Worksheet #1

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