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?. Consider the function x} = x f (x24) Complete the following steps: a. Factor the function. Find the domain. b. Simplify the function if
?. Consider the function x} = x f (x24) Complete the following steps: a. Factor the function. Find the domain. b. Simplify the function if possible. Indicate the location of any holes. c. Find the intercepts. To nd the x-interoepts, set y = [1. To nd the y- intercept. set x = D. d. Find any odd or even symmetry. Recall: A function is said to be even if f(x) = for) and said to be odd if ffx) = f(x). If a function is even. it will be symmetric about the y-axis. If a function is odd, it will be symmetric about the origin. e. Find any asymptotes. Vertical asymptotes occur on rational functions where the denominator is equal to 0 (unless factors of the numerator 8. denominator cancel outthen. the function has a hole. not an asymptote]. Horizontal asymptotes are found by nding ljm x) and lim f{x]. IF'm f. Find the intervals on increase 8: decrease along with any local max or min points using a sign chart [the rst derivative test}. g. Find the intervals of concavity along with any inection points using a sign chart for the second derivative. h. Put all the above information together to create a graph. 8. Using Newton's method and your calculator (or Desmos) find the root of the function f(x) = 2* + x2 - 2 Use x, = 1. Show your result at each step. Round your final answer to 6 decimal places. (Answer should take 5 steps)
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