Questions from Calculus


Q: Discuss the continuity of the composite function h(x) =

Discuss the continuity of the composite function h(x) = f(g(x)). f(x) = 1 / √x g(x) = x - 1

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Q: Find an equation of the line that is tangent to the graph

Find an equation of the line that is tangent to the graph of f and parallel to the given line. Function: f(x) = 1 / √x - 1 Line: x + 2y + 7 = 0

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Q: Discuss the continuity of the composite function h(x) =

Discuss the continuity of the composite function h(x) = f(g(x)). f(x) = tan x g(x) = x / 2

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Q: Discuss the continuity of the composite function h(x) =

Discuss the continuity of the composite function h(x) = f(g(x)). f(x) = sin x g(x) = x2

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Q: Use a graphing utility to graph the function. Use the graph

Use a graphing utility to graph the function. Use the graph to determine any x-values at which the function is not continuous. f(x) = [[x]] - x

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Q: Use a graphing utility to graph the function. Use the graph

Use a graphing utility to graph the function. Use the graph to determine any x-values at which the function is not continuous.

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Q: Use a graphing utility to graph the function. Use the graph

Use a graphing utility to graph the function. Use the graph to determine any x-values at which the function is not continuous.

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Q: Use a graphing utility to graph the function. Use the graph

Use a graphing utility to graph the function. Use the graph to determine any x-values at which the function is not continuous.

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Q: Describe the interval(s) on which the function is continuous

Describe the interval(s) on which the function is continuous. f(x) = x / x2 + x + 2

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Q: Describe the interval(s) on which the function is continuous

Describe the interval(s) on which the function is continuous. f(x) = x + 1 / √x

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