Texas Instruments TI-83 - Page 4

Find maximum and minimum values of
3 2
( ) 5 3
f x x x x
= − − −
.
Graph Y
1
=
3 2
5 3
x x x
− − −
.
Zoom 6 for the standard window… [-10, 10]
1
x [-10, 10]
1
.
Find the maximum value of
3 2
( ) 5 3
f x x x x
= − − −
:
Press 2
nd
TRACE 4: maximum.
Left Bound? Move cursor to the left to get a y-coordinate that is less than
the relative max.
Press ENTER on
1.489362 1.075089
x y
= − = −
.
Right Bound? Move cursor to the right to get a y-coordinate that is less than the max.
Press ENTER on
0.4255319 1.130472
x y
= − = −
.
Guess? Press ENTER.
3 2
( ) 5 3
f x x x x
= − − −
has a relative maximum value of 0 at
1
x
= −
.
See the table of values!
Find the minimum value of
3 2
( ) 5 3
f x x x x
= − − −
:
Press 2
nd
TRACE 3: minimum.
Left Bound? Move cursor to the right to get a y-coordinate that is more than
the relative min.
Press ENTER on
0.63829787 6.338856
x y
= = −
.
Right Bound? Move cursor to the right to get a y-coordinate that is less than the max
Press ENTER on
2.3404255 7.359824
x y
= = −
.
Guess? Press ENTER.
3 2
( ) 5 3
f x x x x
= − − −
has a relative minimum value of -9.481 at
1.667
x
≈
.