Questions from General Calculus


Q: Find the x-intercepts of the given function. y

Find the x-intercepts of the given function. y = 4x - 4x2 - 1

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Q: Find the x-intercepts of the given function. y

Find the x-intercepts of the given function. y = 3x2 + 10x + 3

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Q: Show that the function f (x) = 1/3

Show that the function f (x) = 1/3 x3 - 2x2 + 5x has no relative extreme points.

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Q: Show that the function f (x) = -x3 +

Show that the function f (x) = -x3 + 2x2 - 6x + 3 is always decreasing.

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Q: Sketch the graphs of the following functions. f (x

Sketch the graphs of the following functions. f (x) = x3 - 6x2 + 12x - 6

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Q: Sketch the graphs of the following functions. f (x

Sketch the graphs of the following functions. f (x) = -x3

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Q: Find the slope of the graph of y = f (x

Find the slope of the graph of y = f (x) at the designated point. f (x) = 3x2 - 2x + 1, (1, 2)

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Q: Sketch the graphs of the following functions. f (x

Sketch the graphs of the following functions. f (x) = x3 + 3x + 1

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Q: Sketch the graphs of the following functions. f (x

Sketch the graphs of the following functions. f (x) = x3 + 2x2 + 4x

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Q: Sketch the graphs of the following functions. f (x

Sketch the graphs of the following functions. f (x) = 5 - 13x + 6x2 - x3

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