1st Periodic Test (Advanced Algebra) Flashcards
is a relation from a set of inputs to a set of outputs where each input corresponds to exactly one output.
Function
is the way a function is written.
Function Notation
The most popular function notation is
f(x)
Read as “f of x”
(+) + (Big -)
Example: 5 + (-11)
Answer is always negative
U Subtract
(Big +) + (-)
Example: 16 + (-7)
Answer is always positive
U subtract
(-) + (-)
Example: (-3) + (-4)
Answer is always negative
U add
The long method of dividing polynomials involves applying not only the process of division but also the Laws of Exponents and the Distributive Property. These additional mathematical principles are used to simplify and manipulate the terms and the coefficients during the division process.
Long Division of Polynomial Functions
(+) x (-)
Answer is always negaative
Formed by combining two functions in a manner where the result of one function is used as the input for the other.
Composite function
A shortcut method called ??? can be used to divide polynomials if the divisor is a linear polynomial in the form of x - c.
Synthetic Division
is 1 - infinity a factor
no
is 0 a factor
yes
1 squared
1
2 squared
4
3 squared
9
4 squared
16
5 squared
25
7 squared
49
6 squared
36
8 squared
64
9 squared
81
10 squared
100
11 squared
121
12 squared
144