Question

match each polynomial function to its graph.
$f(x) = x^3 - 3x^2 + x - 3 = (x - 3)(x^2 + 1)$
$g(x) = x^3 - 23x^2 + 175x - 441 = (x - 7)^2(x - 9)$
$f(x) = x^3 - 3x^2 + x - 3$ $g(x) = x^3 - 23x^2 + 175x - 441$

Explanation:

Left graph crosses $x$-axis at $x=3$ (only real zero). Right graph touches $x$-axis at $x=7$ (double zero) and crosses at $x=9$. Thus, $f(x)$→left, $g(x)$→right.

Answer:

Left graph crosses $x$-axis at $x=3$ (only real zero). Right graph touches $x$-axis at $x=7$ (double zero) and crosses at $x=9$. Thus, $f(x)$→left, $g(x)$→right.