Questions from General Calculus


Q: Sketch the graph of an example of a function f that satisfies

Sketch the graph of an example of a function f that satisfies all of the given conditions.

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Q: Explain why each function is continuous or discontinuous. a.

Explain why each function is continuous or discontinuous. a. The temperature at a specific location as a function of time b. The temperature at a specific time as a function of the distance due west...

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Q: Use the definition of continuity and the properties of limits to show

Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. f(x) = (x + 2x3)4, a = -1

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Q: Use the definition of continuity and the properties of limits to show

Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. g(t) = t2 + 5t/2t + 1, a = 2

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Q: Use the definition of continuity and the properties of limits to show

Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. p(v) = 2 3v2 + 1 , a = 1

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Q: Use the definition of continuity and the properties of limits to show

Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. f(x) = 3x4 - 5x + 3 x2 + 4 , a = 2

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Q: Use the definition of continuity and the properties of limits to show

Use the definition of continuity and the properties of limits to show that the function is continuous on the given interval. f(x) = x + x − 4 , (4, ∞)

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Q: Use the definition of continuity and the properties of limits to show

Use the definition of continuity and the properties of limits to show that the function is continuous on the given interval. g(x) = x – 1/3x + 6, (-∞, -2)

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Q: Explain why the function is discontinuous at the given number a.

Explain why the function is discontinuous at the given number a. Sketch the graph of the function. f(x) = 1/x + 2 a = -2

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Q: Explain why the function is discontinuous at the given number a.

Explain why the function is discontinuous at the given number a. Sketch the graph of the function.

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