1.
What is true of the second differences for the equation
x
2
– 6
x
+ 12?
A.
they increase by 1
B.
they decrease by 1
C.
they are constant
D.
they increase by 12
Hint
2.
What type of relationship does the equation have if its second differences are constant?
A.
linear
B.
quadratic
C.
constant
D.
cubic
Hint
3.
Which differences are constant in a cubic equation?
A.
second
B.
first
C.
third
D.
fourth
Hint
4.
How many counterexamples are needed to prove a conjecture wrong?
A.
1
B.
3
C.
4
D.
2
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
= 2
B.
m
= 1,
n
= 0
C.
m
= –2,
n
= 0
D.
m
= 1,
n
= 1
Hint