Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Check all that apply.

The domain of the function is .

The range of the function is all real numbers.

The vertex of the function is .

The function has two x-intercepts.

The function is increasing over the interval (, ∞

The correct answer for the question that is being presented above is this one: "The range of the function is all real numbers; The function has two x-intercepts. The statements about the graph of the function f(x) = 2x2 – x – 6 that are true includes: The range of the function is all real numbers; The function has two x-intercepts.

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calculista calculista · Answer 2 · 2018-10-01T20:43:49-04:00

we have

\(f(x) = 2x^{2} -x-6\)

using a graphing tool

see the attached figure

This is a quadratic equation (vertical parabola) open up

The vertex is a minimum---------> Vertex \((0.25,-6.125)\)

The domain of the function is all real numbers-------> interval (-∞,∞)

The range of the function is the interval----------> [-6.125,∞)

The function has two x-intercepts-----> \((-1.5,0)\) and \((2,0)\)

The function is increasing over the interval-----> (0.25,∞)

The function is decreasing over the interval-----> (-∞,0.25)

Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Check all that apply.The domain of the function is .The range of the function is all real numbers. The vertex of the function is .The function has two x-intercepts.The function is increasing over the interval (, ∞

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