Sketch the graph of y=(x^2 +x +3)/x^2, locate all maximum and minimum values, intervals of increase and decrease, and inflection points. HINT: Input your function in to maple. Plot your function using the maple plot command. Find the first and second derivatives of your original functions. Solve the first derivative for x in order to find possible min and max. Be sure to do the second derivative test to confirm min/max by subs critical numbers into the second derivative. Don’t forget to subs these critical numbers into the original function in order to find the co-ordinates of min/max.

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