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
Answered by Dorian G. MAT tutor

900 Views

See similar MAT University tutors

Related MAT University answers

All answers ▸

How do you differentiate ln(f(x))? Tricks like these occur commonly in STEP questions (including one I was looking at earlier today).


The inequality x^4 < 8x^2 + 9 is satisfied precisely when...


Let a and b be positive real numbers. If x^2 + y^2<=1 then what is the largest that ax+by can get?


Why does sum(1/n) diverge but sum(1/n^2) converge?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning