Analyze the function for domain, range, continuity, symmetry, boundedness, extrema, asymptotes, and end behavior.f(x) = sec 2x

Question

What will be an ideal response?

Answer 1

Domain: All reals except odd multiples of ?/4
Range: (-?, -1] ? [1, ?)
Continuous on its domain
Symmetric with respect to the y-axis
Not bounded above or below
Local minimum 1 at each multiple of ?
 Local maximum -1 at each odd multiple of ?/2
No horizontal asymptotes
Vertical asymptotes: x = k?/4 for all odd integers k
End behavior: sec 2x and sec 2x do not exist