f(x)= 9x^4-2x^3-36x^2+8x/3x^3+x^2-14 -Factor the numerator and denominator of f(x) completely. -Write the domain of f(x) in...

f(x)= 9x^4-2x^3-36x^2+8x/3x^3+x^2-14

-Factor the numerator and denominator of f(x) completely. -Write the domain of f(x) in interval notation. -Locate all hole(s), if any, and write them in the form of coordinate pairs. -Locate all vertical asymptote(s), if any, and give their equations in the form x = c. For each one, describe what happens to f(x) as x approaches c from the left(-), and as x approaches c from the right (+). -Locate the horizontal/slant asymptote, if any, and give its equation in the form y = b (or y = mx+b). -Locate all x- and y-intercepts of f(x), if any, and give as coordinate pairs. -Construct a sign diagram and use test points to determine on which intervals f(x) is positive and negative. -Use all of this information to draw a sketch of the graph. Label all asymptotes, holes, and intercepts, as well as axes and tick marks.

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Expert Solution

Colby Messinger answered 1 year ago

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