Sketch the graph of f(x)= [ (1/2) tanx + 1 ] as x varies from pie/2 to 3pie/2

We can't draw graphs for you here. Make a table with different values of x, equally spaced. Then plot them. Here are a few values to start you off. x is assumed to be in radians

x --- f(x)
__________
pi/2...infinite (not defined)
5 pi/8.-0.207
3 pi/4..0.5
7 pi/8..0.793
pi ... 1.0
9 pi/8.1.207
5pi/4..1.5
11 pi/8.2.207
3 pi/2 infinite (not defined)