Question

Select all the intervals where
\[g\] is decreasing.
A coordinate plane. The x-axis scales by one, and the y-axis scales by ten. The graph of y equals g of x is a continuous curve. From left to right, it passes through the point negative five, negative ten and decreases through negative four, negative fifty until it reaches a local minimum at negative two and one-half, negative sixty-five. Then it increases through the point negative one, negative fifty and the y-intercept zero, negative twenty-five. It continues to increases until the local maximum at two and one-half, twelve. Then it decreases through the point four, zero and the point five, negative forty. All values are estimates.
\[\small{1}\]

Answer 1

g is decreasing on (-∞, -2.5) and on (2.5, ∞).

Reason: the curve falls from left toward the local minimum at x = -2.5, then rises to the local maximum at x = 2.5, and after x = 2.5 it falls again.