The polynomial function f (x) = - x^3+x^2+14x-24 has zeros at x=-4, x=3, and x=2. Which of the following graphs represents the function?

Question

Mathematics

Mittens

3 July, 21:29

The polynomial function f (x) = - x^3+x^2+14x-24 has zeros at x=-4, x=3, and x=2. Which of the following graphs represents the function?

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Answers (1)

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Elisha Berry · Answer 1

Since you did not include the graph choices, I will explain what the graph will look like:

a negative x³ curve will start at + ∞ and fall [passing through (-4,0) ], then rise [passing through (2,0) ], and then fall [passing through (3,0) ], and will continue to fall towards - ∞.