Points, Vectors, and Functions True or False
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1.
Which of the following statements is true? -> The equation
y = x
2
describes
y
as a function of
x
.
True
False
2.
We say
y =
f
(
x
) is a function of
x
if -> there is only one possible
y
for each
x
.
True
False
3.
Which of the following functions is bounded above but not bounded below? ->
True
False
4.
We say a function
f
(
x
) defined on the whole real line is bounded below if -> There is a real number
K
such that
f
(
x
) ≥ K for all real
x
.
True
False
5.
Which of the following statements is FALSE? -> If a function is non-decreasing, that function must also be strictly increasing.
True
False
6.
Which of the following graphs shows a function that is non-increasing but is not strictly decreasing? ->
True
False
7.
Which of the following graphs shows an even function? ->
True
False
8.
Which of the following functions is odd? ->
f
(
x
) =
x
+
x
True
False
9.
Which of the following statements is true? -> It is possible for a function to be neither even nor odd.
True
False
10.
Which graph shows a function that is strictly decreasing, odd, and bounded both above and below?
-> B
True
False
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