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24 Αυγ 2022 · How to determine domain and range of a function using a graph. To determine the domain, look at the values along the \(x\) axis that the graph reaches. To determine the range, look at the values along the \(y\) axis that the graph reaches.
Definition. The graph of a function is the collection of all ordered pairs of the function. These are usually represented as points in a Cartesian coordinate system. As an example, consider the function. f = {(1, 2), (2, 4), (3, 1), (4, 3)} f = {(1, 2), (2, 4), (3, 1), (4, 3)}
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The Graph of a Function. The graph of a function is the set of all points whose co-ordinates (x, y) satisfy the function \displaystyle {y}= f { {\left ( {x}\right)}} y = f (x).
Basic Functions. In this section we graph seven basic functions that will be used throughout this course. Each function is graphed by plotting points. Remember that f(x) = y and thus f(x) and y can be used interchangeably. Any function of the form f(x) = c, where c is any real number, is called a constant function.