Chapter 7.2, Problem 43E

(a)

To determine

Whether $f^{-1}$ is increasing or not.

(b)

To determine

Whether $f^{-1}$ is decreasing or not.

(c)

To determine

Whether $f^{-1}$ is concave up or not.

(d)

To determine

Whether $f^{-1}$ is concave down or not.

(e)

To determine

Whether the given function is one-to one or not.

(f)

To determine

Whether Quadratic polynomials $f\left(x\right)=ax+bx+c\left(a\ne 0\right)$ are always one-to-one

(g)

To determine

To check whether $f\left(x\right)=\sin x$ is not one-to -one.