The stationary or turning points on a graph are known as its extrema
Taking each axis division as representing one unit, we have;
The global extrema are; (-2, -4) and (2, -4)
The local extrema is the point (0, 4)
The reason the above values are correct is as follows;
The extrema is the plural form of the calculus term extremum for the point on the graph of the function where the value of the function is the maximum or largest value or the minimum or the smallest value
At the extremum, the value of the function stops increasing or decreasing and starts decreasing or increasing after the extremum respectively
From the given graph, we have that the global extrema where there are minimum values are;
x = -2, and y = -4, which gives the point (-2, -4)
x = 2, and y = -4, which gives the point (2, -4)
Therefore, the global extrema are; (-2, -4) and (2, -4)
The local extremum is the point x = 0, and y = 4 or (0, 4)
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