Domain and Range

# Domain and Range - Domain and Range We define a function y...

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Unformatted text preview: Domain and Range We define a function y f(x) = as being a relationship that assigns to each input (x) one and only one output (y). An important characteristic of any function is its domain and range. The domain of a function is the set of all possible input values, and the range of a function is the set of all resulting output values. When determining these sets it may be necessary to consider the context in which a formula exists. If no context is given, then the domain is simply the set of input values that can be used to get a result, and the range is the set of those results. Consider the function defined by the formula f(x) 5 2x = + = + = + = + . The domain would be the set of numbers that can be doubled and the result added to 5. Because this can be done to any number, the domain is the set of all real numbers, and so is the range. If we examine the graph of this function (shown on the left below), we see that the graph extends infinitely to the left and right, so the domain is the set of all real numbers, and infinitely up and down, so the range is also the set of...
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