1. 1)Given f(x) = x 5 + 8x 3 + x + 1 has an inverse, find f -1 (1) and f -1 (11). 2)Explain, in words and a picture, why this is true: if f(x) is increasing for all x, then f has an inverse. 3)Why does y = x 2 not really have an inverse?

2. Unit Circle 1)Draw a large circle, centered at the origin. 2)Label the coordinates of the circle at the axes. 3)Draw in radii at every 45° measure then label all the radians for these degrees. 4)Draw in radii at every 30° measure then label all the radians for these degrees. 5)Draw on your paper an equilateral and isosceles right triangles. 6)See if you can remember the rules on these special triangles.