4.4/4.5- Graphing Trig Functions

Domain: All real numbers

Range: [-1, 1]

Symmetric at (0,0) so it is an odd function

x-intercept: K(pi) K= integers

y-intercept: (0,0)

Maximum value: 1 at (pi)/2 + 2(pi) x K K=integers

Minimum value: -1 at -(pi)/2 + 2(pi)

Domain: All real numbers

Range: [-1,1]

Symmetric at y-axis so it is an even function.

x-intercept: ((pi)/2)(K(pi))

y-intercept: (0,1)

Maximum value: 1 at 0+2(pi)(K) K=integers

Minimum value: -1 at (pi) + 2(pi)(K)

Domain: x ≠ ((pi)2) + K(pi)

Range: All real numbers

Symmetric at (0,0) so it is an odd function.

x-intercepts: K(pi)

y-intercept: (0,0)

Vertical Asymptote: x= ((pi/2) +K(pi)

Domain: x ≠ K(pi) K=integers

Range: (1, infinity) or (-infinity, -1]

vertical asymptote: occurs at x=K(pi) K=integers

Symmetry at (0,0) so it is an odd function.

Domain: x ≠ ((pi)/2) + K(pi)

Range: (1, infinity) or (-infinity, -1]

vertical asymptote: occurs at x=((pi)/2) + K(pi)

Symmetric at y-axis so it is an even function

Domain: x ≠ 0 K(pi)

Symmetric at (0,0) so it is an odd function.

x-intercepts: x=((pi)/2) +(pi)K

y-intercept: none

vertical asymptote: x=K(pi)