Question: Curve Sketching: 2 Consider the function: f(x) = 2x +33: x2+2 Do ALL the following calculations by hand. Find the horizontal asymptote. Find all critical

 Curve Sketching: 2 Consider the function: f(x) = 2x +33: x2+2

Curve Sketching: 2 Consider the function: f(x) = 2x +33: x2+2 Do ALL the following calculations by hand. Find the horizontal asymptote. Find all critical points (Le. find both (x , y) values). State the intervals of increase and decrease and intervals of concavity. Find the points of inflection (i.e. find both (x , y) values). Find all local maximums and local minimums. Show all of your work! Find all points to 3 decimal places. You can use Desmos as a guide. (6 marks)

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