## Maximum Option

The maximum option is used to find a relative minimum. Press .

Press .
(The maximum option can also be obtained by using the
to select option 4 and pressing .)
Since a function may have more than one relative maximum, specify an interval
containing the desired low point on the graph. (The "2" in the upper right-hand
corner indicates finding a relative minimum on the graph of the second
function.)

The question "Lower Bound?" appears at the bottom of the screen. Use
the
to move the blinking cursor to the *left* of the relative maximum.
Press .

The question "Upper Bound?" appears at the bottom of the screen. Use
the
to move the blinking cursor to the right of the relative maximum.
Press .

The arrows at the top of the screen indicate the boundaries between
which the calculator will give the relative maximum. (The arrows must point
toward each other.) The question "Guess?" appears at the bottom of the
screen. Locate the cursor between the established boundaries. Press .

The coordinates of the maximum appear at the bottom of the screen. In
this case the maximum point is (0,5).

**Note:** The maximum option finds the maximum in the specified interval within 0.00001.
Results may be slightly different than algebraic solutions. The maximum
option finds a local maximum within a defined interval. Consider finding
a maximum over a new interval.

Within this interval, the function never reaches a turning point. However,
there is a maximum within that interval, and the TI-82 finds it.