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0:20 2:56 Suggested clip Ex 1: Use the Vertical Line Test to Determine if a Graph Represents ... YouTubeStart of suggested client of suggested clip Ex 1: Use the Vertical Line Test to Determine if a Graph Represents ...
ANSWER: Sample answer: You can determine whether each element of the domain is paired with exactly one element of the range. For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.
2:40 5:40 Suggested clip Determining if Something is a Function — YouTubeYouTubeStart of suggested client of suggested clip Determining if Something is a Function — YouTube
Determining whether a relation is a function involves making sure that for every input there is only one output. In order for a relation to be called a function, each X value must have exactly one Y value. X has to have exactly one Y value.
A function is a relation in which each input has only one output. In the relation, y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
Replace x with -x and compare the result to f(x). If f(-x) = f(x), the function is even. If f(-x) = — f(x), the function is odd. If f(-x) f(x) and f(-x) -f(x), the function is neither even nor odd.
Suggested clip Determine if an Equation Represents a Function (Basic with ... YouTubeStart of suggested client of suggested clip Determine if an Equation Represents a Function (Basic with ...
2:43 5:40 Suggested clip Determining if Something is a Function — YouTubeYouTubeStart of suggested client of suggested clip Determining if Something is a Function — YouTube
Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.
To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.
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