September 19, 2011
Warm-up Problem: September 8, 2011.
Find the domain for each function. Give
the range if you think you know it.
(-∞, 0)
(-∞, ∞)
(0, ∞)
Domain: (-∞, ∞)
Range: (-∞, ∞)
Domain:
Range:
Domain:
Range: (-∞, 0) (0, ∞)
September 19, 2011
Warm-up Problem: September 9, 2011.
-∞ ∞
∞
-∞
•
∞
-∞
September 19, 2011
Warm-up Problem: September 12, 2011.
Sketch each graph quickly.
September 19, 2011
Sketch each graph quickly.
September 19, 2011
Warm-up Problem: September 14, 2011.
Given that f(x) = x2 - 5x, find each.
f(4) =
f(-3) =
f(x + 7) =
September 19, 2011
Warm-up Problem: September 15, 2011.
Given that f(x) = x2 - 5x and g(x) = x - 4,
find each.
g(2) = -2
f(-2) = 14
f(x - 4) = x2 - 13x + 36
f[g(x)] = x2 - 13x + 36
f[g(2)] = 14
(f°g)(2)] = 14
September 19, 2011
Warm-up Problem: September 16, 2011.
New Age Special Effects, Inc. prepares computer software
based on specifications prepared by film directors. To
simulate an approaching vehicle, they begin with a computer
image of a 5 cm by 7 cm by 3 cm box. The program increases
each dimension at a rate of 2 cm/sec. How long does it take
for the volume V of the box to be at least 5 times its initial
size?
[0, 5] [0, 600]
September 19, 2011
Warm-up Problem: September 19, 2011.
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(-5, -6) (-6, -5)
(-4, -3.5) (-3.5, -4)
(-3, -1) (-1, -3)
(-1, 0) (0, -1)
(0, 2) (2, 0)
(1, 4) (4, 1)
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(3, 5) (5, 3)
Fill in the table with the points on the
f-1
graph of
that correspond to those
on the graph of f.
(5, 6) (6, 5)