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Question
Pick the graph(s) which corresponds to a function.
Pick the graph(s) which corresponds to a function.
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Solution
The correct option is D
If f(x) is a function, then every x in the domain of f has a unique image. If a graph is given, this can be tested using the vertical line test. If f(x) is a function of x, then a vertical line drawn through any x in the domain of f(x) intersects the graph of f(x) at exactly one point i.e x has one and only one image under f. It can be observed that graphs C and D correspond to functions.
If f(x) is a function, then every x in the domain of f has a unique image. If a graph is given, this can be tested using the vertical line test. If f(x) is a function of x, then a vertical line drawn through any x in the domain of f(x) intersects the graph of f(x) at exactly one point i.e x has one and only one image under f. It can be observed that graphs C and D correspond to functions.
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