1) Given f(x) = x5 + 8x3 + 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 = x2 not really have an inverse?

Unit Circle1) 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.