Chap_2_1 Slides.pdf - Math 124 Chapters 2.1 Basics of...

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28 Slides Math 124 Chapters 2.1 Basics of Functions and Their Graphs
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2 Find the domain and range of a relation. Determine whether a relation is a function. Determine whether an equation represents a function. Evaluate a function. Graph functions by plotting points. Use the vertical line test to identify functions. Obtain information about a function from its graph. Identify the domain and range of a function from its graph. Identify intercepts from a function’s graph. Objectives:
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3 Definition of a Relation A relation is any set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components is called the range of the relation.
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4 Example: Finding the Domain and Range of a Relation Find the domain and range of the relation: {(0, 9.1), (10, 6.7), (20, 10.7), (30, 13.2), (40, 21.2)} domain: {0, 10, 20, 30, 40} range: {9.1, 6.7, 10.7, 13.2, 21.2}
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5 Definition of a Function A function is a correspondence from a first set, called the domain , to a second set, called the range , such that each element in the domain corresponds to exactly one element in the range. … a function can have two first components with the same second component. A relation is not a function if a first component has two different second components.
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