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2). use the graph to identify any local maxima and local minima. (enter…

Question

2). use the graph to identify any local maxima and local minima. (enter your answers as a comma-separated list. if an answer does not exist, enter dne.)

Explanation:

Identify local maxima from the graph

$$ (x, y) = (0, 0) $$

Identify local minima from the graph

$$ (x, y) = (-2, -16), \quad (2, -16) $$

Answer:

Local maxima: \((0, 0)\)
Local minima: \((-2, -16), (2, -16)\)