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Graph each function. See Examples 1 and 2. h(x) = |-½ x|
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Ch. R - Algebra Review
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
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TOC.tableOfContents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 27
Determine whether each relation defines a function, and give the domain and range. See Examples 1 – 4.
Guida verificata passo dopo passo1
Understand the definition of a function: A relation is a function if every input (or x-value) corresponds to exactly one output (or y-value). This means no x-value is paired with more than one y-value.
Examine the given relation by listing all the input-output pairs. Check if any input (x-value) appears more than once with different outputs (y-values). If it does, the relation is not a function.
Identify the domain of the relation by collecting all the unique input values (x-values) from the pairs. The domain is the set of all these x-values.
Identify the range of the relation by collecting all the unique output values (y-values) from the pairs. The range is the set of all these y-values.
Summarize your findings: state whether the relation is a function based on the previous check, and clearly list the domain and range sets.
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Definition of a Function
A function is a relation where each input (domain element) corresponds to exactly one output (range element). This means no input value is paired with more than one output value. Understanding this helps determine if a given relation qualifies as a function.
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Percorso guidato
5:57
Graphs of Common Functions
Domain of a Relation
The domain is the set of all possible input values for the relation. Identifying the domain involves listing all unique first elements from the ordered pairs or the allowable input values in the relation.
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Percorso guidato
5:20Introduction to Relations and Functions
Range of a Relation
The range is the set of all possible output values that the relation maps to. It consists of all unique second elements from the ordered pairs or the resulting values from the function's rule.
Video consigliato:
Percorso guidato
5:20Introduction to Relations and Functions
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