Chapter 4.4, Problem 72E

To determine

a)

To clarify that the statement can be true or false if $f\left(x\right)$ is increasing, then $f^{-1}\left(x\right)$ is decreasing.

To determine

b)

To clarify that the statement can be true or false if $f\left(x\right)$ is decreasing, then $f^{-1}\left(x\right)$ is decreasing.

To determine

c)

To clarify that the statement can be true or false if $f\left(x\right)$ is concave up, then $f^{-1}\left(x\right)$ is concave up.

To determine

d)

To clarify that the statement can be true or false if $f\left(x\right)$ is concave down, then $f^{-1}\left(x\right)$ is concave up.