Section 5.6
Optimization
541
Version: Fall 2007
5.6
Exercises
1.
Find the exact maximum value of
the function
f
(
x
) =
−
x
2
−
3
x
.
2.
Find the exact maximum value of
the function
f
(
x
) =
−
x
2
−
5
x
−
2
.
3.
Find the vertex of the graph of the
function
f
(
x
) =
−
3
x
2
−
x
−
6
.
4.
Find the range of the function
f
(
x
) =
−
2
x
2
−
9
x
+ 2
.
5.
Find the exact maximum value of
the function
f
(
x
) =
−
3
x
2
−
9
x
−
4
.
6.
Find the equation of the axis of sym-
metry of the graph of the function
f
(
x
) =
−
x
2
−
5
x
−
9
.
7.
Find the vertex of the graph of the
function
f
(
x
) = 3
x
2
+ 3
x
+ 9
.
8.
Find the exact minimum value of the
function
f
(
x
) =
x
2
+
x
+ 1
.
9.
Find the exact minimum value of the
function
f
(
x
) =
x
2
+ 9
x
.
10.
Find the range of the function
f
(
x
) =
5
x
2
−
3
x
−
4
.
11.
Find the range of the function
f
(
x
) =
−
3
x
2
+ 8
x
−
2
.
12.
Find the exact minimum value of
the function
f
(
x
) = 2
x
2
+ 5
x
−
6
.
13.
Find the range of the function
f
(
x
) =
4
x
2
+ 9
x
−
8
.
14.
Find the exact maximum value of
the function
f
(
x
) =
−
3
x
2
−
8
x
−
1
.
Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/
1
15.
Find the equation of the axis of
symmetry of the graph of the function
f
(
x
) =
−
4
x
2
−
2
x
+ 9
.
16.
Find the exact minimum value of
the function
f
(
x
) = 5
x
2
+ 2
x
−
3
.
17.
A ball is thrown upward at a speed
of
8
ft/s from the top of a
182
foot high
building. How many seconds does it take
for the ball to reach its maximum height?
Round your answer to the nearest hun-
dredth of a second.

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