1.
What type of relationship does the equation have if its second differences are constant?
A.
cubic
B.
quadratic
C.
linear
D.
constant
Hint
2.
Which differences are constant in a cubic equation?
A.
third
B.
second
C.
first
D.
fourth
Hint
3.
What is the relationship between constant second differences and the coefficient of the equation?
A.
the second difference is opposite the coefficient
B.
the second difference is –2 times the coefficient
C.
the second difference is 2 times the coefficient
D.
the second difference is the same as 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.
develop an argument to prove the conjecture
B.
test every possible case to prove the conjecture
C.
find a counterexample to disprove the conjecture
D.
all answers are correct
Hint
5.
Find the values for
m
and
n
which the conjecture (
m – n
)
2
=
m
2
– n
2
is false.
A.
m
= 1,
n
= 1
B.
m
= 1,
n
= 2
C.
m
= –2,
n
= 0
D.
m
= 1,
n
= 0
Hint