Which of the following polynomial functions is graphed below?
A. f(x) = (x - 5)(x - 1)^2(x - 1)
B. f(x) = (x - 4)(x - 2)^2(x - 3)
C. f(x) = (x + 5)(x + 1)^2(x - 1)
D. f(x) = (x+4)(x-2)^2(x+3)

A polynomial function is a function in an equation that contains only positive integer exponents or powers of a variable, such as the quadratic equation, cubic equation.

It is given that for the given graph plotted in the image , a correct polynomial function has to be determined .

When all the graphs are plotted for all the equations given in the options.

It can be seen that the equation in The Option D satisfies the image.

f(x) = (x+4)(x-2)²(x+3)

The image of the graph for the equation is attached.

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Which of the following polynomial functions is graphed below? A. f(x) = (x - 5)(x - 1)^2(x - 1) B. f(x) = (x - 4)(x - 2)^2(x - 3) C. f(x) = (x + 5)(x + 1)^2(x - 1) D. f(x) = (x+4)(x-2)^2(x+3)

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What is a Polynomial Function ?

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Which of the following polynomial functions is graphed below?
A. f(x) = (x - 5)(x - 1)^2(x - 1)
B. f(x) = (x - 4)(x - 2)^2(x - 3)
C. f(x) = (x + 5)(x + 1)^2(x - 1)
D. f(x) = (x+4)(x-2)^2(x+3)