Question

enter values to write the function that matches the graph shown.
$f(x) = (x - 3)(square x + square)$

Explanation:

Step1: Identify x-intercepts

From the graph, the x-intercepts are $x=3$ and $x=-2$.

Step2: Write factored form

For intercept $x=a$, factor is $(x-a)$. So factors are $(x-3)$ and $(x-(-2))=(x+2)$.

Step3: Match given function structure

The given function has $(x-3)$, so the missing terms are the coefficient (1) and the constant from the second factor (2).

Answer:

$f(x) = (x - 3)(1x + 2)$