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In this problem, we are given a graph of some polynomial.
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With this graph, we want to answer the following questions.
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A, we want to find the sign of the leading coefficient.
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The leading coefficient corresponds to the degree of highest power of our polynomial.
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If the sign is positive of our leading coefficient, then our polynomial will behave in this general shape.
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It will be concave, or a concave object.
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If we had a negative sign as our leading coefficient, then our polynomial will mostly be concave down, reversed.
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So in our case, our polynomial is globally concave up, which means that the sign of our leading coefficient in this case is positive.
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So the sign of the leading coefficient is positive in our case.
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Now we want to find the x intercepts.
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The the x intercepts are locations, or the value of x when y is equal to 0.
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And this we can read straight off our given graph.
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And we have three locations when y is equal to zero.
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In other words, when our red curve here crosses the x -axis...