Relations and Tables of Values Quiz

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Questions and Answers

For the relation defined by $y = 4x - 1$, what is the output value when $x = 3$?

What is the y-value for the relation $y = 10 - x$ when $x = 6$?

In the relation $y = x^2 + 1$, what is the y-value when $x = 4$?

For the relation $y = 2x^2 - 1$, what is the output when $x = 3$?

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Flashcards

What is a relation?

A set of ordered pairs (x, y) where y is a function of x, meaning for each input x there is exactly one output y. The relationship can be described by an equation.

How is a relation represented in a table?

A table is a convenient way to represent a relation, where each row shows the corresponding x and y values.

How is a relation defined by an equation?

A relation can be defined by an equation that expresses the relationship between x and y. For example, y = 3x implies that y is always three times the value of x.

How is a relation shown graphically?

A relation can be graphed by plotting the ordered pairs on a coordinate plane. The graph shows the visual relationship between x and y.

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What are the domain and range in a relation?

The domain of a relation is the set of all possible x values (inputs). The range is the set of all possible y values (outputs).

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Study Notes

Relations and Tables of Values

Relations: A set of ordered pairs (x, y) where x and y represent values.
Tables of Values: Used to represent relations, displaying corresponding x and y values.
Understanding Equations: Equations define the relationship between x and y values.
Completing Tables: Given an equation, substitute x values into the equation to find corresponding y values. These calculations yield the complete table.
Examples: Various relations (y = 3x, y = 4x-1, y = 10 -x, etc.) are presented and examples provided. Multiple sample tables demonstrate how relations are visually represented in tabular form.