Consider the graph of f(x) = Show all your work in a) through f) on paper...

 

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Consider the graph of f(x) = Show all your work in a) through f) on paper sheets. Print your Desmos of Maple worksheet which has all these answers on it, and circle or highlight the answers on the printed worksheet. On the graph of f(x), label the horizontal tangents, points of inflection, and intercepts. a) Find all x and y intercepts of f. b) Find all vertical asymptotes of f. c) Use L'Hospital's Rule to compute lim e*(x-2), the denominator of f(x). 8118 x²-5 x--∞ ex(x-2) x2-5 ex(x-2) d) Now compute lim e) What does this tell you about whether there is a horizontal asymptote on the left? f) Investigate, using L'Hospital's Rule, if there is a horizontal asymptote on the right. Consider the graph of f(x) = Show all your work in a) through f) on paper sheets. Print your Desmos of Maple worksheet which has all these answers on it, and circle or highlight the answers on the printed worksheet. On the graph of f(x), label the horizontal tangents, points of inflection, and intercepts. a) Find all x and y intercepts of f. b) Find all vertical asymptotes of f. c) Use L'Hospital's Rule to compute lim e*(x-2), the denominator of f(x). 8118 x²-5 x--∞ ex(x-2) x2-5 ex(x-2) d) Now compute lim e) What does this tell you about whether there is a horizontal asymptote on the left? f) Investigate, using L'Hospital's Rule, if there is a horizontal asymptote on the right.