Question

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Which polynomial function could be represented by the graph below?
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14
42
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8-6
6 8 X
O f(x) = x³ + x² - 6x
O f(x)=x²-x² - 6x
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bocchette
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Answer 1

The polynomial function that could be represented by the graph is f(x) = x³ + x² - 6x

How to determine the polynomial?

The attached graph represents the missing part of the question

From the attached graph, the x-intercepts of the graph are:

x1 = -3

x2 = 0

x3 = 2

The equation of the graph is then calculated as:

f(x) = (x - x1)(x - x2)(x - x3)

This gives

f(x) = (x + 3)(x - 0)(x - 2)

Expand

f(x) = x(x² + 3x - 2x - 6)

Evaluate

f(x) = x(x² + x - 6)

Expand

f(x) = x³ + x² - 6x

Hence, the polynomial function that could be represented by the graph is f(x) = x³ + x² - 6x

Read more about polynomials at:

https://brainly.com/question/4142886

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