Section 3.2 Extra Practice
STUDENT BOOK PAGES 130–138
1. Find the absolute extrema of each function on the
interval shown.
a.
y
4
3
2
1
2. f (x) ⫽ 4x 2 ⫺ 15x ⫹ 3, x苸3⫺5, 44
1
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x2
, x苸35, 15 4
4. f (x) ⫽
x⫺4
2 3 4
5. f (x) ⫽ x 3 (x 2 ⫺ 9) 2, 0 ⱕ x ⱕ 3.5
y
6
5
4
3
2
1
6. The height of a bumble bee relative to the ground is
described by the equation
h(t) ⫽ ⫺14t 4 ⫹ 73t 3 ⫺ 5t 2 ⫹ 7, where t is time in
seconds and h is in metres.
a. How high above the ground does the bumble
bee get?
b. At what times does the bumble bee change
directions?
c. What interval(s) is the bumble bee flying up?
d. What interval(s) is the bumble bee flying down?
x
0
c.
1
3
3. f (x) ⫽ x 2 ⫺ x 2, 0 ⱕ x ⱕ 16
4
x
0
–1
–2
b.
For questions 2–5, use the algorithm for finding
maximum or minimum values to determine the
absolute extreme values of each function on the
given interval.
1
50
40
30
20
10
0
2 3 4 5 6
y
7. The concentration C(t) in mg/cm3 of a toxin added to
0.2t
x
2 4 6 8 10 12
the water pipes is given by C(t) ⫽ (t ⫹ 2) 2, where t is
the number of hours after the toxin enters the water.
Determine the maximum and minimum
concentrations between the first half hour and fifth
hour after the toxin enters the water pipes.
Section 3.2 Extra Practice
359