Use the Leading Coefficient Test to determine the end behavior of the polynomial function.f(x) = x + 2x2 - 3x3
A. y ? ? as x ? -? and y ? -? as x ? ?
B. y ? -? as x ? -? and y ? -? as x ? ?
C. y ? -? as x ? -? and y ? ? as x ? ?
D. y ? ? as x ? -? and y ? ? as x ? ?
Answer: A
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Express in terms of logarithms of a single variable or a number.log5
A. (2 log5 x)(6 log5 y) - log5 7 B. 2 log5 x - 6 log5 y - log5 7 C. 2 log5 x + 6 log5 y + log5 7 D. 2 log5 x + 6 log5 y - log5 7
For the pair of functions, find the indicated domain.f(x) = , g(x) = x + 5Find the domain of g ? f.
A. (-?, -12) ? (-12, ?) B. (-?, ?) C. (-?, -7) ? (-7, ?) D. (-?, -7] ? [-7, ?)
Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = -
A.
B.
C.
D.
The graph of a logarithmic function is shown. Select the function which matches the graph.
A. y = log4x B. y = log4(x + 1) C. y = log4x - 1 D. y = log4(x - 1)