Question

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

Answer 1

Refer to the description.

Explanation:

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`