Questions from Calculus


Q: Prove that the function is even. f(x)

Prove that the function is even. f(x) = a2nx2n + a2n-2x2n−2 + . . . + a2x2 + a0

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Q: Test for symmetry with respect to each axis and to the origin

Test for symmetry with respect to each axis and to the origin. y = x5 / 4-x2

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Q: Test for symmetry with respect to each axis and to the origin

Test for symmetry with respect to each axis and to the origin. y = │x3 + x│

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Q: The function y = ½ sin 2x has an amplitude that is

The function y = ½ sin 2x has an amplitude that is twice that of the function y = sin x.

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Q: Let d1 and d2 be the distances from the point (x

Let d1 and d2 be the distances from the point (x, y) to the points (−1, 0) and (1, 0), respectively, as shown in the figure. Show that the equation of the graph of all points (x, y)...

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Q: Test for symmetry with respect to each axis and to the origin

Test for symmetry with respect to each axis and to the origin. │y│ - x = 3

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Q: Find any intercepts and test for symmetry. Then sketch the graph

Find any intercepts and test for symmetry. Then sketch the graph of the equation. y = 2 − 3x

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Q: Find the domain and range of the function. f(

Find the domain and range of the function. f(x) = 4x2

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Q: Find any intercepts and test for symmetry. Then sketch the graph

Find any intercepts and test for symmetry. Then sketch the graph of the equation. y = (2/3)x + 1

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Q: Find any intercepts and test for symmetry. Then sketch the graph

Find any intercepts and test for symmetry. Then sketch the graph of the equation. y = 9 - x2

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