Chapter 2: Section 1 Notes
By the end of the section, you should be able to:
- Students will be able to identify the domain and range of a function.
- Students will be able to determine if a relation is a function
- Students will be able to determine the independent (x) value and the dependent (y) value of a situation.
- Students will be able to model a situation using a function rule and function notation.
- Students will be able to use the Vertical-Line Test to determine if a relation/graph is a function.
Definitions:
- Relation: a set of pairs of input and output values.
- Domain: the set of inputs in a relation, also called x-coordinates, of the ordered pairs.
- Range: the set of outputs in a relation, also called y-coordinates, of the ordered pairs.
- Function: a relation in which each element of the domain corresponds with exactly one element of the range.
- Vertical-Line Test: a test to determine whether a relation is a function.
- If a vertical line passes through more than one point on the graph of a relation, then the relation is not a function.
- Function Rule: an equation that represents an output value in terms of an input value
- Function Notation: a mathematical notation written in the following order: output(input).
- For example: the function f at a specific value x is written as: f(x)
- Independent Variable: usually x, represents the input of a function.
- Dependent Variable: usually y, represents the output of a function.
- Remember the dependent variable DEPENDS on the independent variable for information.
Four Ways to Represent Relations
A way to remember Domain vs. Range
Examples of parts of Relations and Functions
🎥Explained ** I made an Error in this video, for the first mapping diagram the orderd pairs should be (-3,-2) (0,7) and (4,1)**
Examples of Function Rules and Notation
Section 2.1 Worksheet |
Section 2.1 WS Answers |
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