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A polynomial function is represented by the data in the table. choose the function represented by the data.
choose the function represented by the data.

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Lanuelidn

The polynomial function represented by the data is equal to D. f(x) = −x² + 10.

How to determine the polynomial function?

In order to determine the polynomial function represented by the data, we would substitute the value of x (-3) into the given set of functions as follows:

For option A, we have:

f(x) = 6x + 15

f(-3) = 6(-3) + 15

f(-5) = -18 + 15

f(-5) = -3 (False).

For option B, we have:

f(x) = -6x - 45

f(x) = -6(-3) - 45

f(x) = 18 - 45

f(x) = -27 (False).

For option C, we have:

f(x) = x² - 40

f(x) = -3² - 40

f(x) = 9 - 40

f(x) = -31 (False).

For option D, we have:

f(x) = −x² + 10

f(x) = −(-2)² + 10

f(x) = −9 + 10

f(x) = 1 (True).

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Complete Question:

A polynomial function is represented by the data in the table.

x = -5, -4, -3, -2, -1

f(x) = -15, -6, 1, 6, 9

Choose the function represented by the data.

A. f(x) = 6x + 15

B. f(x) = −6x − 45

C. f(x) = x² − 40

D. f(x) = −x² + 10

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