Unit 3, Lesson 3
Graphs of Rational Functions (Part 2)
Algebra 2
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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?
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.
Which polynomial function’s graph is shown here?
\(f(x)=(x+1)(x+2)(x+5)\)
\(f(x)=(x+1)(x-2)(x-5)\)
\(f(x)=(x-1)(x+2)(x+5)\)
\(f(x)=(x-1)(x-2)(x-5)\)
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.