- ELEMENTARY FUNCTIONS–
706.Determine the domain of the function
g(x) =.
a.the set of all real numbers
b.(–1,∞)
c.(–∞,–1)
d.(–∞,–1)∪(–1,∞)707.Which of the following is true of the function
f(x) = 2?
a.It is not a function.
b.It has a range of 2.
c.It has no domain.
d.It has a slope of 2.
e.It has no y-intercept.
708.Which of the following is true about the function
f(x) = |x|?
a.It has one y-intercept and two x-intercepts.
b.It has one y-intercept and one x-intercept.
c.There exists precisely one x-value for which
f(x) = 1.
d.f(x)0, for all real numbers x.709.Which of the following is true about the func-
tion f(x) = x^3?
a.f(x)0, for all real numbers x.
b.The graph ofy= f(x) crosses the line y = a
precisely once, for any real number a.
c.The graph ofy= f(x) is decreasing on its
domain.
d.The range is [0,∞).
710.Which of the following is true about the func-
tion f(x) = ^1 x?
a.f(x) 0, for all real numbers x.
b.The graph has one x-intercept.
c.The graph ofy= f(x) is decreasing on the
interval (0,∞).
d.The range is (0,∞).
711.Which of the following is true of
f(x) = 4 x – 1?
a.The domain of the function is all real num-
bers greater than ^14 and the range is all real
numbers greater than 0.
b.The domain of the function is all real num-
bers greater than or equal to ^14 and the range
is all real numbers greater than 0.
c.The domain of the function is all real num-
bers greater than or equal to ^14 and the range
is all real numbers greater than or equal to 0.
d.The domain of the function is all real num-
bers greater than 0 and the range is all real
numbers greater than or equal to ^14 .
e.The domain of the function is all real num-
bers greater than or equal to 0 and the range
is all real numbers greater than or equal to ^14
.712.Consider the graphs off(x) = x^2 and g(x) = x^4.
Which of the following statements is true?
a.f(x) g(x), for all real numbers x.
b.The graphs ofy= f(x) and y= g(x) do not
intersect.
c.The range of both fand gis [0,∞).
d.The graphs of both fand gare increasing on
their entire domains.713.Which of the following is the domain of the
function f(x) = ?
a.(–∞,2)
b.(2,∞)
c.(–∞,2)∪(2,∞)
d.none of the above714.How many x-intercepts does the function
f(x) = 1 – |2x–1| have?
a. 0
b. 1
c. 2
d.more than 2^1
(2 – x)^25 ^1
^3 –1–x