Question

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

Explanation:

Step1: Identify x-intercepts

The graph crosses the x-axis at $x=3$ and $x=-2$.

Step2: Write factored form

For intercept $x=a$, the factor is $(x-a)$. For $x=-2$, the factor is $(x - (-2))=(x+2)$.

Step3: Match given function structure

The given function has one factor $(x-3)$, so the missing factor is $(1x+2)$.

Answer:

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