Whether the statement “every relation is a function” is true or false.
Answer to Problem 10AYU
False, every relation is not a function.
Explanation of Solution
Consider two sets A and B . If each element
The values of first coordinate
Therefore, the set of input values represent the domain and set of output values represent the range of the function.
If one or more elements in the set A has more than one image in the set B , then the relation will not be a function.
A relation is shown below:
So, every function is a relation but every relation is not a function.
Chapter 2 Solutions
Precalculus
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