Start with the given graph of y. a) Describe a sequence of transformations that results in the graph of g(x); b) Find the range of g(x); c) Find the horizontal asymptote of the graph of g(x).y = 5x; g(x) = 
x + 2
A. a) The graph of y = 5x is stretched horizontally by a factor of 4 and shifted two units up.
b) (2, ?)
c) y = 2
B. a) The graph of y = 5x is stretched vertically by a factor of 4 and shifted two units down.
b) (-2, ?)
c) y = -2
C. a) The graph of y = 5x is stretched vertically by a factor of 4 and shifted two units up.
b) (2, ?)
c) y = 2
D. a) The graph of y = 5x is stretched horizontally by a factor of 4 and shifted two units down.
b) (-2, ?)
c) y = -2
Answer: A
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Write the sample space for the experiment. Students choose two types of music from among rock, jazz, hip hop, reggae, and country.
A. S = {(rock, jazz), (rock, hip hop), (rock, reggae), (rock, country), (jazz, rock), (jazz, hip hop), 
(jazz, country), (hip hop, rock), (hip hop, jazz), (hip hop, reggae), (hip hop, country), (reggae, rock), (reggae, jazz), (reggae, hip hop), (reggae, country), (country, rock), (country, jazz), (country, hip hop), (country, reggae)}
B. S = {(rock, jazz), (rock, hip hop), (rock, reggae), (rock, country), (jazz, hip hop), (jazz, reggae), 
(hip hop, reggae), (hip hop, country), (reggae, country)}
C. S = {rock, jazz, hip hop, reggae, country}
D. S = {(rock, jazz), (rock, hip hop), (rock, reggae), (jazz, hip hop), (jazz, reggae), (jazz, country), 
(reggae, country)}
Find the absolute extreme values of the function on the interval.f(x) = csc x, - 
? x ? 
A. absolute maximum is 1 at x = ?; absolute minimum is -1 at x = ? B. absolute maximum does not exist; absolute minimum does not exist C. absolute maximum is 0 at x = -?; absolute minimum is -1 at x = ? D. absolute maximum is -1 at x = ?; absolute minimum is 1 at x = 0
Determine whether f and g are inverses by determining whether 
and 
f(x) = 
, g(x) = -7x + 4
A. Yes B. No
Express as a sum of logarithms.log67x
A. log67 - log6x B. log67 + log6x C. log37 - log3x D. log37 + log3x