Chapter 4.1, Problem 56PE

a. Graph $f\left(x\right)=\sqrt{x-2}$.

b. From the graph of f, is f a one-to-one function?

c. Write the domain of f in interval notation.

d. Write the range of f in interval notation.

e. Write an equation for $f^{-1}\left(x\right)$.

f. Explain why the restriction $x\ge 0$ is placed on $f^{-1}$.

g. Graph $y=f\left(x\right)\text{ and }y=f^{-1}\left(x\right)$ on the same coordinate system.

h. Write the domain of $f^{-1}$

in interval notation.

i. Write the range of $f^{-1}$ in interval notation.