(a) The function "f" is increasing for the x-values of [(-∞) < x ≤ 0] and [2 < x < ∞], while "f" is decreasing for the x-values of [0 < x ≤ 2].
(b) The function f(x) is greater than 0 at [(-1) < x < ∞], excluding the point (x = 2)
(c) The function f(x) is less than 0 when [x < (-1)]
In the reference attachment attached along with the question statement, we are provided with a graph of a certain function "f",
And as per the question statement, we are required to determine the x-values for the following:
(a) for which "f" is increasing or decreasing,
(b) [f(x) > 0]
(c) [f(x) < 0]
From the graph, it is very clear that, the slope is rising from [(-∞) < x ≤ 0] and [2 < x < ∞], while, declining from [0 < x ≤ 2] of the x-axis. Therefore,
(a) The function "f" is increasing for the x-values of [(-∞) < x ≤ 0] and [2 < x < ∞], while "f" is decreasing for the x-values of [0 < x ≤ 2].
(b) The function f(x) is greater than 0 at [(-1) < x < ∞], excluding the point (x = 2)
(c) The function f(x) is less than 0 when [x < (-1)]
To learn more about x-values of increasing or decreasing functions, click on the link below.
brainly.com/question/28912753
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