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 increase by 12
D.
they are constant
Hint
2.
What type of relationship does the equation have if its first differences are constant?
A.
cubic
B.
constant
C.
linear
D.
quadratic
Hint
3.
What type of relationship does the equation have if its second differences are constant?
A.
cubic
B.
linear
C.
quadratic
D.
constant
Hint
4.
How many counterexamples are needed to prove a conjecture wrong?
A.
2
B.
4
C.
3
D.
1
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
= 0
D.
m
= 1,
n
= 1
Hint