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Sunny_sXe [5.5K]
2 years ago
6

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

Mathematics
1 answer:
AleksandrR [38]2 years ago
3 0

Answer:

\boxed {f(x) = x^{2} - 6x + 1}

Step-by-step explanation:

<u>Substituting each x value and checking it corresponds to the table</u> :

<u>x = -6</u>

⇒ f(-6) = (-6)² - 6(-6) + 1

⇒ f(-6) = 36 + 36 + 1

⇒ f(-6) = 73

<u>x = -2</u>

⇒ f(-2) = (-2)² - 6(-2) + 1

⇒ f(-2) = 4 + 12 + 1

⇒ f(-2) = 17

<u>x = 2</u>

⇒ f(2) = (2)² - 6(2) + 1

⇒ f(2) = 4 - 12 + 1

⇒ f(2) = -7

<u>x = 6</u>

⇒ f(6) = (6)² - 6(6) + 1

⇒ f(6) = 36 - 36 + 1

⇒ f(6) = 1

<u>x = 10</u>

⇒ f(10) = (10)² - 6(10) + 1

⇒ f(10) = 100 - 60 + 1

⇒ f(10) = 41

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