The interval where g is negative is in the domain of -5 ≤ x < 1
The reason for the above selected interval is as follows;
A function is negative over an interval where the graph of the function is
below the x-axis, and the y-coordinate values are negative, excluding
where the y-value is zero. The interval over which a function is negative is
also called the negative region
From the given graph, the function, g(x), we have;
At x = 1, y = g(x) = 0
At x = -5, y = g(x) ≈ -7 and increasing to 0
Therefore at x = -5, g(x) ≈ -7, is negative
Tis negative over the interval -5 ≤ x < 1
Therefore;
The interval where g(x) is negative is -5 ≤ x < 1.
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