Square root Propery

If x and k are complex numbers and x^2 = k, then

x = SQRT k or x = -SQRT K

non quadratic function

A non quadratic function can be written like this: au^2 + bu + c = 0

1 to 1

If the graph doesnt pass the horizontal line test then it is not 1 to 1

Domain and Range

The domain of an absolute value function is (-inf.,inf) and its range is [0,inf.)

The reciprocal function the domain and range are both (-inf.,0) or (0,inf.)

The square root function the domain is [0,inf.) and the range is [0,inf.)

Every Transformation

F(X)= -afunc(x+/- h)+/-K

(reflection (shift left (Shift up or

over x-axis) or right down same as

opp. sign) sign)

Types of Functions and what they're called.

f(x)=2x^2 + 3, parabola ,y=x^2
g(x)= 4x^3,cubic ,y=x^3
g(x)=1(x-3)=allometric, 1x=y
w(x)= (x+27)-6, square root ,y=x
h(x)= -x-3 ,abs. value, y=x

Vertical Line Test

Vertical line test if a vertical line passes through more than one point of the graph. then the relation is not a function. A parabola is an example of a function because if you draw a line through the graph it doesnt go through more than one point.

HW

what were the links for the homework?

Factoring a Polynomial

Step 1: Factor out any common factors.

Step 2: If the polynomial is a binomial, check to see if there is a difference of squares.
If the polynomial is a trinomial, check to see if its a perfect square trinomial. If its not factor it using the methods we have learned.
If the polynomial has more than three terms, try to factor by grouping.

Step 3: Check your answer

Types of Factoring

Types of factors you can use on the test:
Factoring by Grouping
Guess and Check
Ac Method
X-Method
Box Method

subtracting functions

when subtracting functions such as (f-g)(x) (4x^2+8x-7)-(-5x^2+4x-9) you distribute the negative.
the subtraction sign is basically -1.

Multiplying Polynomials - YourTeacher.com - Algebra Help

F.O.I.L.

foil method is used to multiply two binomials.

F = first
O= outside
I = inner
L = last