Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros for the given function.f(x) = 7x4 - 8x3 + x2 - 3.5x + 16

A. 4, 2 or 0 positive zeros, 1 negative zeros
B. 4, 2 or 0 positive zeros, no negative zeros
C. 4 or 2 positive zeros, no negative zeros
D. 4 positive zeros, no negative zeros


Answer: B

Mathematics

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Solve.x2 + 8x + 16 ? 0

A. {-4} B. (-?, -4] ? [-4, ?) C. [4, ?) D. {4}

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Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b)  Find the x- and y-intercepts of the graph.(c)  Determine whether the graph crosses or touches the x-axis at each x-intercept.(d)  Graph f using a graphing utility.(e)  Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.(g)  Find the domain of f. Use the graph to find the range of f.(h)  Use the graph to determine where f is increasing and where f is decreasing.f(x) = -2(x - 2)(x + 2)3

What will be an ideal response?

Mathematics

Use the appropriate sum or difference identity to write the given expression as a function of x alone.sin 

A. -sin x B. sin x C. -cos x D. cos x

Mathematics