Stitz-Zeager_College_Algebra_e-book

Evaluating formulas using this function notation is a

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Unformatted text preview: elations and Functions 1.5 Function Notation In Definition 1.4, we described a function as a special kind of relation − one in which each xcoordinate is matched with only one y -coordinate. In this section, we focus more on the process by which the x is matched with the y . If we think of the domain of a function as a set of inputs and the range as a set of outputs, we can think of a function f as a process by which each input x is matched with only one output y . Since the output is completely determined by the input x and the process f , we symbolize the output with function notation: ‘f (x)’, read ‘f of x.’ In this case, the parentheses here do not indicate multiplication, as they do elsewhere in algebra. This could cause confusion if the context is not clear. In other words, f (x) is the output which results by applying the process f to the input x. This relationship is typically visualized using a diagram similar to the one below. f x Domain (Inputs) y = f (x) Range (Outputs) The value of y is completely dependent on the choice of x. For this reason, x is often called th...
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