5.2 Exercise 94

Use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or –1. There may be more than one correct answer.

The $y -$ intercept is $\left(0 , 0\right) .$ The $x -$ intercepts are $\left(0 , 0\right)$, $\left(2 , 0\right) .$ Degree is 3.

End behavior: as $x \rightarrow - \infty$, $f \left(x\right) \rightarrow - \infty$, as $x \rightarrow \infty$, $f \left(x\right) \rightarrow \infty .$