To explain: the domain and range of a function.
Explanation of Solution
The domain is the set of all possible x values for the function to be difined.
For domain,
(i).The denominator of a rational function cannot be zero
(ii).The number under a square root sign must be positive
Example:
Here is the graph of
The domain of this function
The range of a function is the complete set of all possible resulting values of the dependent variable, after substituted the domain.
- The range of a function is possible y - for the function to be defined.
Example:
Let’s return to the example above,
The curve is either on or above the horizontal axis. The range in this case is
The curve goes on forever vertically, beyond what is shown on the graph, so the range is all non-negative values of y .
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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