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Which quadrants and axes does #f(x)=sin^2x# pass through?

Answer 1

Refer to the description.

Given, #f (x)=sin^2x# Recall that the range of sine is #[-1,1]# . Since the function is squared all the negative values are reflected positive. So it must lie in 1st and 2nd quadrant. It only passes through the y axis and is tangent to x axis because at x=0 and #x=kpi#

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Answer 2

Abigail Allen

The function ( f(x) = \sin^2(x) ) passes through the origin (0,0) and the first and second quadrants of the coordinate plane.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.