Fill in the blank(s) to correctly complete each sentence.

1. For a function to have an inverse, it must be to
2. The domain of y = arcsin x equals the of y=sin x
4. The point (pi/4 , 1) lies on the graph of y = tan x. Therefore, the point
lies on the graph of y = tan^-1 x.
5. If a function ƒ has an inverse and ƒ(pi) = -1, then ƒ^-1=
6. To evaluate sec^-1 x, use the value of cos^-1

1. For a function to have an inverse, it must be one-to-one.

2. The domain of y = arcsin x equals the range of y = sin x.
4. The point (pi/4 , 1) lies on the graph of y = tan x. Therefore, the point (1, pi/4) lies on the graph of y = tan^-1 x.
5. If a function ƒ has an inverse and ƒ(pi) = -1, then ƒ^-1(-1) = pi.
6. To evaluate sec^-1 x, use the value of cos^-1(1/x).