Question

match each polynomial function to its graph.
$f(x) = x^3 - 21x^2 + 147x - 343 = (x - 7)^3$
$g(x) = x^3 + 3x^2 + x + 3 = (x + 3)(x^2 + 1)$
$f(x) = x^3 - 21x^2 + 147x - 343$ $g(x) = x^3 + 3x^2 + x + 3$
two graphs of polynomial functions on coordinate grids are shown, but their specific details for matching are part of the visual task.

Explanation:

The left graph crosses the x-axis at $x=-3$, matching this.

Step3: Match functions to graphs

$f(x)$ → right graph; $g(x)$ → left graph.

Answer:

The left graph crosses the x-axis at $x=-3$, matching this.

Step3: Match functions to graphs

$f(x)$ → right graph; $g(x)$ → left graph.