
interval notation
use of parentheses and brackets, brackets if <= or >=, to denote the domain or range

function
one value of x yields only one result

domain
the set of x values that can satisfy a function

range
the set of y values that can satisfy a function

slope formula
(Y2Y1)/(X2X1)

slope intercept form
y=mx+b


slope in standard form
B/A

pointslope form
YY1=m(XX1)

linear equation
equation with one or two variables, each of which has a power of 1

how to solve for intercept in two variable equation
plug in zero for other variable

regression
equation of best fit; linear, quadratic, constant, cubic, etc.

step function
closed dotson 'line'; open dotsabove next closed dot with same y value of last point

linear combination
eliminate one variable by addition/subtraction of equations

substitution
solve for one variable in terms of another or others

bounded
finite number of solutions

unbounded
infinitely many solutions

linear program theory
optimization of a linear function will occur at the vertex of the feasible region

an A by B matrix has how many columns?
B

an A by B matrix has how many rows?
A

how to find inverse of a matrix
(matrix name)^(1)

how to find determinant
2nd>matrix>math>det(matrix name)

augmented matrix dimensions
A by A+1

augmented matrix
each row has coefficients of variables in order, 'answer' in last column. each column has all of x values, all of y values, etc.

solve an augmented matrix
rowreduced echelon function

answer of an augmented matrix
identity matrix + one column with solutions

double check entered matrices
double check entered matrices

what kinds of matrices can be added?
identical dimensions

what kind of matrices can be multiplied?
inside dimensions identical (A by B and B by A, but not A by B and A by B)

when multiplying to matrices of dimensions A by B and B by A, what will be the dimensions of the product?
B by B

to find area of triangle with 3 points given, how can one find the area using matrices?
first two columns are values given, third is all ones; absolute value of determinant/2

when matrix A is multiplied by its inverse, what is the result?
identity matrix

cramer's rule
denominator of each solution is determinant of coefficent matrix; numerator is determinant of identical matrix except with 'answers' instead of coefficients of variable solving for

vertex of parabola
point at most extreme value of y

do roots go in the denominator?
NO!!!!

completing the square
square sum or difference of x and (coefficient of x/2), add square to other side; solve

vertex form
(x(x of vertex)^2+(y of vertex)

discriminant
b^2 4ac, NOT the square root of this

forms of quadratic equations
vertex form, intercept form, standard form

can a function have an odd number of imaginary zeros?
NO!!!!

is 'x' a polynomial?
YES!!!

is '5x^2' a polynomial?
YES!!! (for some reason)

