A function can increase or decrease at an interval.
The blank should be completed with decreasing
The function is given as:
[tex]\mathbf{f(x) = -x^3 + 5x^2 - 2x - 8}[/tex]
See attachment for the graph of f(x)
On the interval (–∞, –1), the values of f(x) decreases to 0
Similarly, the values of f(x) decreases at interval (2, 4)
Hence, the complete statement is: f is decreasing on the intervals (–∞, –1) and (2, 4).
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