- ELEMENTARY FUNCTIONS–
762.Which of the following statements is true?
a.If 0b1, the graph ofy= bxget very
close to the x-axis as the x-values move to
the left, and the y-values grow very rapidly as
the x-values move to the left.
b.If 0 b1, the graph of y = bxget very
close to the x-axis as the x-values move to
the right, and the y-values grow very rapidly
as the x-values move to the right.
c.If 0 b 1f, the graph ofy= bxget very
close to the x-axis as the x-values move to
the right, and the y-values grow very rapidly
as the x-values move to the right.
d.If 0 b 1, the graph ofy= bxget very
close to the x-axis as the x-values move to
the right, and the y-values grow very rapidly
as the x-values move to the left.
763.Which of the following statements is true?
a.If 0 b 1, then the equation bx=–1 has a
solution.
b.Ifb1, then the equation bx= 1 has two
solutions.
c.Ifb0, then the equation bx= 0 has no
solution.
d.Ifb0, then only negative x-values can be
solutions to the equation bx= 0.
764.Which of the following statements is true?
a. 2 x 3 x, for all x 0.
b.^12
x
^1 xx
, for all x0.c.^12
- x
0, for any real number x.
d.All of the above statements are true.
765.What is the solution set for the inequality
1–3x≤0?
a.[1,∞)
b.[0,∞)
c.the empty set
d.the set of all real numbers
766.What is the solution set for –^23
2 x
≤ 0?
a.(–∞,0)
b.(–∞,0]
c.the empty set
d.the set of all real numbers767.Which of the following is a true characterization
of the graph off(x) = –^34 x
?
a.The graph has one x-intercept and one
y-intercept.
b.There exists an x-value for which f(x) = 1.
c.The graph is increasing as the x-values move
from left to right.
d.The graph is decreasing as the x-values move
from left to right.768.Which of the following is a true characterization
of the graph off(x) = –^175 3 x
?
a.The graph has one x-intercept and one
y-intercept.
b.There exists an x-value for which f(x) = 1.
c.The graph is increasing as the x-values move
from left to right.
d.The graph is decreasing as the x-values move
from left to right.Set 49 (Answers begin on page 245)
This problem set focuses on more advanced features of
exponential functions, including solving equations
involving exponential expressions.769.The range of the function f(x) = 1– 2exis which
of the following?
a.(–∞,1]
b.(–∞,1)
c.(1,∞)
d.[1,∞)