Solution: We can see that the graph extends horizontally from -2 to 3, but the -2 is not included. Therefore, the domain is (-2, 3]. Also, we see that the graph extends vertically from 2 to -2, so the range is [-2, 2]. EXAMPLE 2 The following graph
The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. When looking at a graph, the domain is all the values of the graph from left to right. The range is all the values of the graph
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The range here is going to be, we could say f (x) is a member of the real numbers such that f (x) does not equal zero. f (x) does not equal zero. So the domain is all real numbers except for zero, the range is all real numbers except for zero. So the big takeaway here is the
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One way you can find the range of a function is by writing it as a relation. A relation is a set of ordered pairs that represent coordinates on a graph. You can write the pairs
1+y \ge 0 1+y ≥ 0. which means that y \ge -1 y ≥ −1. If we use interval notation, we can write Range (f) = [-1, +\infty) Range(f) = [−1,+∞) . In this example, we could have solved it using the fact that f (x) = x^2 - 4x + 3 f (x) = x2 −4x+3 is a
To find the range of a function on a graph, mark (or plot) the domain (x) and range (y) coordinates you have on a piece of graph paper using small dots. This can help you see the
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