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State a cubic or quartic function with the least degree possible in intercept form for the given graph. Assume that all x-intercepts are integers, and that the constant factor a is either 1 or −1.
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y= ?

State a cubic or quartic function with the least degree possible in intercept form for the given graph Assume that all xintercepts are integers and that the con class=

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Answer:

y = [tex]-x^{3} - 2x^{2} + 5x + 6[/tex]

Step-by-step explanation:

The function will be cubic.  The x-intercepts are -4, -1, and 2

The constant factor is -1 because the graph falls on the right.  So,

y = -(x + 4)(x + 1)(x - 2)

y = -[tex]x^{3} -2x^{2} + 5x +6[/tex]

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