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Question 1 14 points Consider the function f x 2x 6 2x r3 a Factor...

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Question 1 14 points Consider the function f x 2x 6 2x r3 a Factor the numerator and the denominator of f x as much as you can b Write the domain of f c Say whether f has any symmetries d Find the intersections of the graph of f with the z axis and the y axis if any e Find the subset of the domain on which f is positive f Compute the limits of f at any interesting point in R and at too Write the equation of any vertical horizontal or oblique asymptote of the graph of f g Compute the derivative f x h Find the stationary points of f if any Find the subsets on which f is increasing and decreasing Say whether the stationary points are relative minima maxima or neither Compute the values of f x at the stationary points Recall to factor a polynomial of the form ax bx c substitute t x so that it becomes at2 bt c and factor this first Then substitute back r for t and factor again i Draw the approximate graph of f encoding all the information obtained above

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