Finding Intercepts In Exercises $19-28,$ find any intercepts.$y=x^{2}+x-2$
Analyzing a Graph Explain how to create a table to determine characteristics of a graph. What elements do you include?
Polynomial What are the maximum numbers of relative extrema and points of inflection that a fifth-degree polynomial can have? Explain.
Matching In Exercises 5-8, match the graph of the function with the graph of its derivative. [The graphs of the derivatives are labeled (a), (b), (c),and (d).]
Analyzing the Graph of a Function Exercises $9-36,$ analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results.$$y=\frac{x}{x^{2}+1}$$