Rewrite the rational function \(g(x) = \frac{x-4}{x}\) in the form \(g(x) = c + \frac{r}{x}\), where \(c\) and \(r\) are constants.
Problem 2
The average cost (in dollars) per mile for riding \(x\) miles in a rideshare vehicle is \(c(x)=\frac{2.5+2x}{x}\). As \(x\) gets larger and larger, what does the end behavior of the function tell you about the situation?
Problem 3
The graphs of two rational functions \(f\) and \(g\) are shown. One of them is given by the expression \(\frac{2-3x}{x}\). Which graph is it? Explain how you know.
The graphs of two rational functions \(f\) and \(g\) are shown. Which function must be given by the expression of \(\frac{10}{x-3}\)? Explain how you know.