(1) Show all your work/reasoning to receive credit. (2) You may use your class notes and...

 

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(1) Show all your work/reasoning to receive credit. (2) You may use your class notes and the class material posted on Canvas. Non-class material, consultations with others, and any technology besides basic calculators are not allowed. Signature: 2-2 2(x-3) 1. (10 points) Let f(r) = Then '() and "(r)= (a) Find the domain of f (b) Find the critical numbers for f (e) Find the intervals where the function is increasing or decreasing. (d) Find the coordinates of all relative extrema of J relative maxima: relative minima: (e) Find the candidates for inflection. (I) Find the intervals of concavity for f (g) Find the coordinates of all inflection points. (h) Find the z-intercepts and y-intercept off. 2-intercepts of f y-intercept off: (i) Find whether has any horizontal or vertical asymptotes. horizontal asymptote(s): vertical asymptote(s): (j) On a separate page, sketch the graph of including the asymptotes, intercepts, and the points you found (relative extrema, inflection points). Be sure to show concavity accurately on the graph. Show work! (1) Show all your work/reasoning to receive credit. (2) You may use your class notes and the class material posted on Canvas. Non-class material, consultations with others, and any technology besides basic calculators are not allowed. Signature: 2-2 2(x-3) 1. (10 points) Let f(r) = Then '() and "(r)= (a) Find the domain of f (b) Find the critical numbers for f (e) Find the intervals where the function is increasing or decreasing. (d) Find the coordinates of all relative extrema of J relative maxima: relative minima: (e) Find the candidates for inflection. (I) Find the intervals of concavity for f (g) Find the coordinates of all inflection points. (h) Find the z-intercepts and y-intercept off. 2-intercepts of f y-intercept off: (i) Find whether has any horizontal or vertical asymptotes. horizontal asymptote(s): vertical asymptote(s): (j) On a separate page, sketch the graph of including the asymptotes, intercepts, and the points you found (relative extrema, inflection points). Be sure to show concavity accurately on the graph. Show work!