#1**+2 **

18. tan ( x - pi/4)

This is the graph of the tangent shifted to the right by pi/4 units

The normal tangent graph would have an asymptote at pi/2......so this graph will have an asymptote, for example, at

x = (pi/4 + pi/2) = 3pi/4

See the graph here : https://www.desmos.com/calculator/ufvhykjqvu

19. f(x) = 3cos(2pi *x)

The period, P, can be found as

P(2pi) = 2pi → P = 1 radian

Here's the graph : https://www.desmos.com/calculator/a4od0m3gco

CPhill
Apr 16, 2017