5.2 Exercise 96

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 $\left(0 , 1\right) .$ There is no $x -$ intercept. Degree is 4.

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