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How can one determine the number of x-intercepts of the graph of a quadratic function without graphing the function?

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Answer:

The easiest method is to find the x-intercepts of the quadratic function by substituting y=0 in the function and solving it to find the possible values of x. The number of all possible values of x is the number of x-intercepts of the graph.

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User Danjuggler
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