Algebra 3 Quiz
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EXPONENTIAL & LOGARITHMIC FUNCTIONS
Question 1
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Let
g
(
x
)
=
4
−
3
2
−
x
g(x)=4-3^{2-x}
g
(
x
)
=
4
−
3
2
−
x
. Which statement about
g
g
g
is true?
A
g
g
g
is increasing, has range
(
4
,
∞
)
(4,\infty)
(
4
,
∞
)
, and has no x-intercept.
B
g
g
g
is decreasing, has range
(
−
∞
,
4
)
(-\infty,4)
(
−
∞
,
4
)
, and its x-intercept is
2
+
log
3
4
2+\log_3 4
2
+
lo
g
3
4
.
C
g
g
g
is increasing, has range
(
−
∞
,
4
)
(-\infty,4)
(
−
∞
,
4
)
, and has no x-intercept.
D
g
g
g
is increasing, has range
(
−
∞
,
4
)
(-\infty,4)
(
−
∞
,
4
)
, and its x-intercept is
2
−
log
3
4
2-\log_3 4
2
−
lo
g
3
4
.
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