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Between which two ordered pairs does the graph of f(x) = x2 + x – 9 cross the negative x-axis?


Quadratic formula: x =


(–6, 0) and (–5, 0)

(–4, 0) and (–3, 0)

(–3, 0) and (–2, 0)

(–2, 0) and (–1, 0)

Verified Answer :

(-6,0) and (-5,0) is the correct answer

calculista

we have that

\(f(x) =x^{2} + x - 9\)

Using a graph tool

see the attached figure

The function represent a vertical parabola that open up

the vertex is a minimum-------> is the point \((-0.5,-9.3)\)

The x-intercepts are the points when the y coordinate is equal to zero

The x-intercepts are the points \((-3.5,0)\) and \((2.5,0)\)

so

the function cross the negative x-axis at point \((-3.5,0)\)

therefore

the answer is

(–4, 0) and (–3, 0)



View image calculista

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