8+ 6+ 5+ 4+ 3+ f(z) 2+ 4-3-2 2 3 45 6 7 8 9 10 3- 4+ -5+ Function: Domain: Range: Local Extrema: Intervals of Increasing: Intervals of Decreasing:
The given graph of the function is not linear but it is in parabolic shape, thus the function of the graph is a quadratic function or a polynomial function.
Thus, the function is Ploynomial.
The domain of the function is the extreme points of the function or the in the x axis.
Here, the extreme left end or the - x-axis point of the graph is -4 and the extreme right or the extreme point on the positive x axis of the function is 10.
Thus, the domain of the function is,
The interval is closed since the extreme points are closed dots.
The range of the function is the extreme points of the function or the in the y axis.
Here, the extreme bottom end or the - y-axis point of the graph is -5 and the extreme top or the extreme point on the positive y axis of the function is -8.5.
Thus, the range of the function is,
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