Question

finding positive or negative domains
question
determine the domain on which the following graph of f(x) is positive.
answer (inbox above)
-4 < x < -1 all real numbers

Explanation:

Step1: Analyze the graph's x-intercepts

From the graph (a parabola opening downward), we identify the x - intercepts. Let's assume the x - intercepts are at \(x=-4\) and \(x = - 1\) (from the given answer option \(-4

Step2: Determine where \(f(x)>0\)

For a parabola opening downward (\(a<0\) in \(y = ax^{2}+bx + c\)), the function \(f(x)\) is positive (above the x - axis) between its two x - intercepts. So, when \(x\) is between \(-4\) and \(-1\), i.e., \(-4

Answer:

\(-4 < x < -1\)