The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts does the function have?

Question

Mathematics

Lilah Howe

15 March, 03:58

The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts does the function have?

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Answers (1)

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Rory Davila · Answer 1

2

Step-by-step explanation:

We know that the graph of a quadratic function is a parabola with both ends going to either positive or negative infinity if there's no limit on the domain. In this case the range is y ≤ 2, so we know that the vertex of the parabola is at 2 and that the ends go to negative infinity. Therefore each end has to cross the x axis, giving us two x-intercepts.