Chapter 2.2, Problem 30SB

In Problems 25-30, answer the questions about the given function.

$f\left(x\right)=\frac{2x}{x-2}$

(a) Is the point $\left(\frac{1}{2},-\frac{2}{3}\right)$ on the graph of $f$?

(b) If $x=4$. what is $f\left(x\right)$? What point is on the graph of $f$?

(c) If $f\left(x\right)=1$, what is $x$? What point(s) are on the graph of $f$?

(d) What is the domain of $f$?

(e) List the $x\text{-intercepts}$., if any, of the graph of $f$.

(f) List the $y\text{-intercepts}$, if there is one, of the graph of $f$.