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Increasing/decreasing intervals & extremum points challenge

Problem

The function f, left parenthesis, x, right parenthesis, equals, 1, plus, 2, left parenthesis, x, minus, 2, right parenthesis, start superscript, 2, slash, 3, end superscript for x, \in, left parenthesis, minus, 6, comma, 6, close bracket is shown below.
Which of the following statements are true ?
start text, I, point, end text The absolute maximum value of f for x, \in, left parenthesis, minus, 6, comma, 6, close bracket is 6.
start text, I, I, point, end text The absolute maximum value of f for x, \in, left parenthesis, minus, 6, comma, 6, close bracket is 9.
start text, I, I, I, point, end text The absolute maximum value of f for x, \in, left parenthesis, minus, 6, comma, 6, close bracket does not exist.
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