Answer
The interval of increase of the given function is x > -2.5.
This can be written in interval form as (-2.5, ∞)
Step-by-step explanation
The interval of increase of the function refers to the range of values of the independent variable (x), where the graph is sloping positively, that is, the region of the graph that shows where the dependent variable (y) is increasing.
From the graph, we can see that the graph slopes negatively, that is, the values of y keep decreasing as we move from left to right at values of x less than -2.5, but at the point where x = -2.5, the sloping changes (this point is called the vertex of the graph or function; it is the point where the graph changes from increasing to decreasing or from decreasing to increasing).
We can also see that at values of x greater than -2.5, the graph slopes positively and the values of y increases as we move from left to right.
So, the interval of increase of the given function is x > -2.5.
This can be written in interval form as (-2.5, ∞)
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