Find the equation that the given graph represents and give the domain, range, and interval(s) over which the function is increasing and decreasing.
A. P(x) = -x4 + x2 - 3x - 4;
domain: (-?, ?); range: (-?, ?);
Increasing over [-.34, .76];
Decreasing over (-?, -.34] and [.76, ?)
B. P(x) = 2x3 + x2 - 3x + 4;
domain: (-?, ?); range: (-?, ?);
Increasing over (-?, -.86] and [.57, ?);
Decreasing over [-.86, .57]
C. P(x) = 2x4 - x2 + 4;
domain: (-?, ?); range: (-?, ?);
Increasing over (-?, .57];
Decreasing over (-?, .57] and [.86, ?)
D. P(x) = -x3 - x - 4;
domain: (-?, ?); range: (-?, ?);
Increasing over (-?, -.34] and [.76, ?);
Decreasing over [-.34, .76]
Answer: B
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Multiply the rational expressions. ?
A.
B.
C.
D.
Find the limit, if it exists.
A. -1 B. 1 C. 0 D. Does not exist
Use the root test to determine if the series converges or diverges.
A. Diverges B. Converges
Find the equation of the tangent line to the curve when x has the given value.f(x) = x2 + 5x ; x = 4
A. y = - +
B. y = +
C. y = 13x - 16
D. y = -39x - 80