Question

question
determine the domain on which the following graph of $f(x)$ is negative.

Explanation:

Step1: Identify x-intercepts

The graph crosses the x-axis at $x=3$ and $x=7$.

Step2: Find where $f(x)<0$

The parabola opens upward, so it is negative between the intercepts.

Answer:

The domain where $f(x)$ is negative is $3 < x < 7$ (or in interval notation, $(3, 7)$)