In Exercises 70–72, use the Binomial Theorem to find a polynomial expansion for each function. Then use a graphing utility and an approach similar to the one in Exercises 68 and 69 to verify the expansion.

Data from Exercise 68

In Exercises 68–69, graph each of the functions in the same viewing rectangle. Describe how the graphs illustrate the Binomial Theorem.

Data from exercise 69

In Exercises 68–69, graph each of the functions in the same viewing rectangle. Describe how the graphs illustrate the Binomial Theorem.

f₁(x) = (x - 2)⁴

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fi(x) = (x + 2)³ f3(x) = x³ + 6x²2 f₂(x) = x³ f4(x) = x³ + 6x² + 12x 3 fs(x) = x³ + 6x² + 12x + 8 Use a [-10, 10, 1] by [-30, 30, 10] viewing rectangle.