What graph can y = cos^2(x^2)/ x^2 have, for x > 0 ?
Right! Analysing the function "y" we can see that the graph should not exist below the "x" axis, since all the elements that form "y" as a function are positive, no matter what values "x" takes. Providing " x>0 " of course.Moreover, for "y=0", then "cos^2(x^2)/ x^2 = 0 ", hence "x^2= pi/2". For "x>0" the only value that satisfies our equation is " x = sqrt(pi/2)",which means the graph should look like ( can not attach a picture :( ).
DG
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How would I go about graph sketching?