Identify where f is increasing and where f is decreasing.f(x) = -

A. increasing: never; decreasing: [5, ?)
B. increasing: [5, ?); decreasing: never
C. increasing: never; decreasing: [-5, ?)
D. increasing: [-5, ?); decreasing: never


Answer: C

Mathematics

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Use transformations of either the graph of y = ln x or y = log x to graph the given equation.y = 3 log (x - 2)

A.

B.

C.

D.

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The displacement d (in meters) of an object at time t (in seconds) is given. Describe the motion of the object. What is the maximum displacement from its resting position, the time required for one oscillation, and the frequency?d = 5 sin (3t)

A. simple harmonic; 5 m; 3 ? sec;   oscillations/sec
B. simple harmonic; -5 m;   ? sec;   oscillations/sec
C. simple harmonic; 5 m;   ? sec;   oscillations/sec
D. simple harmonic; 5 m;   sec;   ? oscillations/sec

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Graph.f(x) = - x + 6

A.

B.

C.

D.

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For the function f defined over an interval [a, b], express the area A as an integral.f(x) = 2x3 - 1, [1, 6]

A. dx
B. dx
C. dx
D. dx

Mathematics