How to locate the absolute extrema of the function on the closed interval y=3-abs(x-3), on the interval [-1, 5]?

Bobby Roth

Bobby Roth

Answered question

2023-02-13

How to locate the absolute extrema of the function on the closed interval y = 3 - | x - 3 | , on the interval [-1, 5]?

Answer & Explanation

Lauren Cardenas

Lauren Cardenas

Beginner2023-02-14Added 6 answers

Any absolute value equation has a V-shaped graph, but this one is upside-down, shifted right three units, and shifted up three units. The corner of the V is at x = 3.
f ( - 1 ) = - 1 the absolute min
f ( 3 ) = 3 the absolute max
f ( 5 ) = 1

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