2. Using results (eg. known continuous functions) and rules (eg. Sandwich Theorem, Glue Rule) from the course material, determine if the following functions are continuous at 2. S(x – 2)² sin („-,), x#2, 10, | a. f(x) = x = 2. | 2x3 – 3x² + 2x, x < 2, x³ – 3x + 6, b. f(x) = x > 2.

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A: Given that

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Q: (b) f(x) = 9 — х [1,9] over

A:

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A: Consider the table

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A:

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A: We have

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A:

Q: Let f be the continuous function defined on [-6, 6] whose graph consists of a quarter circle and…

A: given:f is the continuous function defined on [-6,6] whose graph consists of a quarter circle and…

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Q: a. f(0) = f(3) = 0 b. f(1) = -2 c. f'(-1) = f'(0) = f'(1) = 0 d. f'(x) 0 on -8 <x< -글and<x<2 g. lim…

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A:

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A: