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QUESTION IMAGE

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

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 $x=1$.

Step2: Find negative regions

The parabola opens downward, so it is negative (below the x-axis) when $x < -3$ or $x > 1$.

Answer:

The domain is $(-\infty, -3) \cup (1, \infty)$