Power Functions and Polynomial Functions · Exercise 71

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 $\left(0,1\right).$ The $x-$ intercept is $\left(1,0\right).$ Degree is 3.
End behavior: as $x\to -\infty$, $f\left(x\right)\to \infty$, as $x\to \infty$, $f\left(x\right)\to -\infty .$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §5.2 Power Functions and Polynomial Functions · Exercise 71