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QUESTION IMAGE

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

Question

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

Explanation:

Step1: Identify positive - part on graph

The function \(y = f(x)\) is positive when \(y>0\), i.e., the graph is above the \(x\) - axis.
Looking at the graph, the \(x\) - values for which the graph is above the \(x\) - axis are in the interval \((- 5,0)\).

Answer:

\((-5,0)\)