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Which of the functions graphed below could be defined by a cubic equation?see images for answer options

Which of the functions graphed below could be defined by a cubic equation?see images-example-1
Which of the functions graphed below could be defined by a cubic equation?see images-example-1
Which of the functions graphed below could be defined by a cubic equation?see images-example-2
User Jambaman
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Recall that the x-intercepts of a graph that represents a polynomial give us the real roots of the polynomial.

Now, the first two graphs are parabolas, therefore they represent a second-degree polynomial, the third graph has 4 x-intercepts, therefore it represents a polynomial of degree at least 4.

The last graph crosses the x-axis 3 times, therefore, it could represent a cubic equation.

Answer: Last graph.

User LucasRolff
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