Whether the given relation represents a function. Also find the domain and range.
Answer to Problem 1RE
The given relation represents a function.
Domain of the function is
Range of the function is
Explanation of Solution
Given information:
A set of relation is given as
Concept used:
Consider two sets A and B . If each element
The values of first coordinate
For each random value of
The set of input values represent the domain and set of output values represent the range of the function.
The set of all images of the elements in the domain of a function is defined as the range of the function.
The set of all first elements of each ordered pair is the domain.
The set of all second elements of each ordered pair is the range.
Calculation:
Consider the given set of relation.
Here every ordered pair has different input for every output.
So, the relation is the function.
Domain of the function is
Range of the function is
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Chapter 2 Solutions
Precalculus
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