1 MAC1105, College Algebra Study Questions for Common Final ...

61. The following figures show two different versions of the graphs of f(x) = 2 and g(x) =2 .
Notice that each version uses different scales on the axes. Make sure to check each version
when answering the following questions.
Supply the appropriate inequality symbol.
a. As x → − ∞, f(x) ____ g(x)
b. As x → + ∞, f(x) ____ g(x)
c. When x lies in the interval (−∞, -1), then f(x) ____ g(x).
d. When x lies in the interval (-0.5, 1), then f(x) _____ g(x).
e. When x lies in the interval (1, 6), then f(x) _____ g(x).
f. When x lies in the interval (7, ∞), then f(x)______g(x).
62. Find power, exponential, and linear equations that go through the two points (1, 0.5) and
(4, 32).
63. The intensity of light from a point source is inversely proportional to the square of the distance
from the light source. If the intensity is 4 watts per square meter at a distance of 6 m from the
source, find the intensity at a distance of 8 m from the source. Find the intensity at a distance of
100 m from the source.
64. Boyle’s Law says that if the temperature is held constant, then the volume, V, of a fixed quantity
of gas is inversely proportional to the pressure, P. That is, V =
for some constant k. What
happens to volume if:
a. The pressure triples?
b. The pressure is multiplied by n?
c. The pressure is halved?
d. The pressure is divided by n?
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