# MathStudyGuide

 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 (Y2-Y1)/(X2-X1) slope intercept form y=mx+b standard form AX+BY=C slope in standard form -B/A point-slope form Y-Y1=m(X-X1) 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 dots-on 'line'; open dots-above 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 row-reduced 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) Authordimeng ID313173 Card SetMathStudyGuide DescriptionMath study guide Updated2015-12-13T23:24:09Z Show Answers