Investigate the function y = 2x2/x2 - 9 according to the given plan: Write the d

Question

Investigate the function y = 2x2/x2 - 9 according to the given plan: Write the domain Write the y - intercept. Find the x - intercepts. Find the derivative of the function. Draw the sign diagram for the derivative and indicate on it the intervals of increase/ decrease; find the minimum/maximum points. This function has vertical and horizontal asymptotes. Write their equations. Draw them. Use the information obtained to sketch the graph accurately Use squared graph paper. If necessary, plot any extra points for more accuracy.

Explanation / Answer

domain : (-inf,-3) , (-3,3) , (3,inf)

y-int : 0

x-int : 0

d/dx((2 x^2)/(x^2-9)) = -(36 x)/(x^2-9)^2

vert asymptotes at x=-3 and x=3

horizontal asymptote at y=2

check out wolfram alpha forgraphs if youn need them, or use a graphing calculator

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