Locate the absolute exterma of the function on the closed interval.

y=3-|t-3| , [-1,5]

1 answer

Well, |t-3| >= 0, becoming its minimum value (0) at t=3.

So, y has a maximum value of 3 at t=3, since it is subtracting 0 from 3. For anything other than 3, y is less than 3.

The other extrema would be minima, occurring at the ends of the interval.