Zeros of Polynomials to Construct Graphs Practice Test

Zeros: $x=3$ (mult. 1), $x=-1$ (mult. 1), $x=2$ (mult. 2). Crosses at all three zeros. End behavior: as $x\to -\infty$, $f(x)\to +\infty$; as $x\to +\infty$, $f(x)\to +\infty$.

Zeros: $x=3$ (mult. 1), $x=-1$ (mult. 1), $x=2$ (mult. 2). Crosses at $x=3$ and $x=-1$, touches at $x=2$. End behavior: as $x\to -\infty$, $f(x)\to -\infty$; as $x\to +\infty$, $f(x)\to +\infty$.

Zeros: $x=3$ (mult. 2), $x=-1$ (mult. 1), $x=2$ (mult. 1). Touches at $x=3$, crosses at $x=-1$ and $x=2$. End behavior: as $x\to -\infty$, $f(x)\to +\infty$; as $x\to +\infty$, $f(x)\to +\infty$.

Zeros: $x=3$ (mult. 1), $x=-1$ (mult. 1), $x=2$ (mult. 2). Crosses at $x=3$ and $x=-1$, touches at $x=2$. End behavior: as $x\to -\infty$, $f(x)\to +\infty$; as $x\to +\infty$, $f(x)\to +\infty$.