Solve the problem.What can you say about the inflection points of the quartic curve  Give reasons for your answer.

What will be an ideal response?


The curve can have 0 or 2 inflection points. The second derivative is quadratic,  and quadratics may have 0, 1, or 2 roots, depending on the value of the discriminant. If  then y " has no real roots and y has no inflection points. If  then y " has exactly one real root and y has a single inflection point. Finally, if   then y " has two real roots and y has exactly two inflection points.

Mathematics

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A fixed point of f is a value of x that satisfies the equation f(x) = x; it corresponds to a point at which the graph of f intersects the line y = x. Find all the fixed points of the function. Use preliminary analysis and graphing to determine good initial approximations. Round approximations to six decimal places.f(x) = x2 - 5

A. x ? -1.291288, 2.291288 B. x ? -1.791288, 2.791288 C. x ? -2.291288, 2.291288 D. x ? -2.791288, 3.791288

Mathematics

Construct the indicated rotation.A 180° rotation of the polygon about point A

What will be an ideal response?

Mathematics

Graph the polar equation.r = 6 - cos ?

A.

B.

C.

D.

Mathematics

Provide an appropriate response.Find the total area.

A. 4x2 + 6x + 9 B. 4x2 + 12x + 9 C. 2x2 + 12x + 9 D. 2x2 + 6x + 9

Mathematics