Grade 12 Provincial Mathematics Exam on January 23. 2018 Flashcards
Do we round up or down with time, distance?
can be kept to 3 decimal places
Like Objects (letters)
n!
a! b! c!
Binomial Expansion formula
nCr = (a)n-r (b)r
How do you determine the value of starting x-value given a sinusoidal equation?
(bx - c) = 0
How do you determine the value of minimum y-value given a sinusoidal equation?
d - |a|
How do you determine the value of “c” given a sinusoidal function?
For a y = sinx graph,
It is th epoint where the graph want to go up on one side and down on the other side
For a y = cosx graph,
it is the highest y-value and how many units along the x-axis it needs to go back to x = 0
When the function is:
ax5
bx5
What is the horizontal asymptote?
Horizontal Asymptote at:
a
y = ——
b
Describe transformation of 5cos(1/2)x
vertical
compression by a factor of 1/5
stretch by a factor of 5
Horizontal
compression by a factor of 2
Stretch by a factor of 1/2
How do you determine the value of “a” given a sinusoidal function?
(highest y-value - lowest y-value)
2
How do you determine the value of maximum y-value given a sinusoidal equation?
d + |a|
Grouped situation (perms)
(# of groups)! (# of objects in each group)!
What does multiplicity mean?
Degree or power
What are the main steps to solving identities? 4
Simplify
Expand
Substitute
FActor
How do you determine the value of “d” given a sinusoidal function?
What is 3 radians?
π is a symbol 3.14 radians
How to find frequency?
Vertex Formula
How do you determine the value of ending x-value given a sinusoidal equation?
(bx - c) = 2π
0! = ?
1
(n+1)! = ?
(n+1)(n)(n-1)(n-2)….
Circular Perms
(n - 1)!
How do you determine the value of “d” given a sinusoidal function?
(max y-value) - |a|
Do we round down or up with people and items?
Round down
Permutation Blocks
(# of Blocks Up + # of Blocks Right)!
(# of Blocks Up)!(# of Blocks Right)!
When the function is:
x2
x
What is the horizontal asymptote?
No Horizontal Asymptote exist
n! = ?
(n)(n-1)(n-2)….
When the function is:
x12
x82
What is the horizontal asymptote?
Horizontal Asymptote at:
y = 0
For finding the maximum y-value, we use (d + |a|), why must a be an absolute value?
a refers to amplitude and amplitude is the DISTANCE from the d-line.
Because it is the distance, it has to be positive.
