Find the domain of the logarithmic function. Write your answer in interval notation.f(x) = log4(x + 4)2

A. (-?, 0) ? (0, ?)
B. (-4, ?)
C. (4, ?)
D. (-?, -4) ? (-4, ?)


Answer: D

Mathematics

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Sketch the graph and show all local extrema and inflection points.y = -x4 + 2x2 - 8

A. Local minima: (-1, 7), (1, 7)
Local maximum: (0, 8)
Inflection point: 

B. Local maxima: (-1, -7), (1, -7)
Local minimum: (0, -8)
Inflection points: 

C. Local maxima: (-1, -7), (1, -7)
Inflection points: 

D. Local maxima: (-1, -7), (1, -7)
Local minimum: (0, -8)
No inflection points

Mathematics

Factor the expression completely.Mv2 + Iw2 (energy)

A.
B.
C.
D. Cannot be factored.

Mathematics

If a firm currently operates at less than full capacity, it must increase existing plant and equipment only if:

A. its total variable operating costs increase with an increase in sales. B. the unused capacity of its existing assets is not sufficient to support a forecasted increase in sales. C. the internally generated funds exceed the amount required to support the forecasted increase in sales. D. the addition of fixed assets in large, discrete units results in economies of scale that increase operating costs. E. fixed operating costs tend to decrease with higher sales.

Mathematics

The table lists some input-output pairs for an exponential function f. Use the table to find the requested value.Find f(0). 

A. 9 B. 3 C. 1 D. 0

Mathematics