1.
What is a conjecture?
A.
an educated guess that has been proved
B.
a ''shot in the dark'' guess that hasn't been proved yet
C.
a ''shot in the dark'' guess that has been proved
D.
an educated guess that hasn't been proved yet
Hint
2.
What are the second differences in the
y
-values?
A.
0
B.
1
C.
–1
D.
2
Hint
3.
What is the relationship between constant second differences and the coefficient of the equation?
A.
the second difference is –2 times the coefficient
B.
the second difference is 2 times the coefficient
C.
the second difference is the same as the coefficient
D.
the second difference is opposite the coefficient
Hint
4.
Consider the following conjecture. If an even number is written 2
k
, where
k
is a whole number, then 2
k
+ 1 must be an odd number. What can be your next course of action in dealing with this conjecture?
A.
test every possible case to prove the conjecture
B.
find a counterexample to disprove the conjecture
C.
all answers are correct
D.
develop an argument to prove the conjecture
Hint
5.
Find the values for
m
and
n
which the conjecture (
m – n
)
2
=
m
2
– n
2
is false.
A.
m
= –2,
n
= 0
B.
m
= 1,
n
= 2
C.
m
= 1,
n
= 1
D.
m
= 1,
n
= 0
Hint