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  1. interval notation
    use of parentheses and brackets, brackets if <= or >=, to denote the domain or range
  2. function
    one value of x yields only one result
  3. domain
    the set of x values that can satisfy a function
  4. range
    the set of y values that can satisfy a function
  5. slope formula
  6. slope intercept form
  7. standard form
  8. slope in standard form
  9. point-slope form
  10. linear equation
    equation with one or two variables, each of which has a power of 1
  11. how to solve for intercept in two variable equation
    plug in zero for other variable
  12. regression
    equation of best fit; linear, quadratic, constant, cubic, etc.
  13. step function
    closed dots-on 'line'; open dots-above next closed dot with same y value of last point
  14. linear combination
    eliminate one variable by addition/subtraction of equations
  15. substitution
    solve for one variable in terms of another or others
  16. bounded
    finite number of solutions
  17. unbounded
    infinitely many solutions
  18. linear program theory
    optimization of a linear function will occur at the vertex of the feasible region
  19. an A by B matrix has how many columns?
  20. an A by B matrix has how many rows?
  21. how to find inverse of a matrix
    (matrix name)^(-1)
  22. how to find determinant
    2nd>matrix>math>det(matrix name)
  23. augmented matrix dimensions
    A by A+1
  24. 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.
  25. solve an augmented matrix
    row-reduced echelon function
  26. answer of an augmented matrix
    identity matrix + one column with solutions
  27. double check entered matrices
    double check entered matrices
  28. what kinds of matrices can be added?
    identical dimensions
  29. 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)
  30. when multiplying to matrices of dimensions A by B and B by A, what will be the dimensions of the product?
    B by B
  31. 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
  32. when matrix A is multiplied by its inverse, what is the result?
    identity matrix
  33. 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
  34. vertex of parabola
    point at most extreme value of y
  35. do roots go in the denominator?
  36. completing the square
    square sum or difference of x and (coefficient of x/2), add square to other side; solve
  37. vertex form
    (x-(x of vertex)^2+(y of vertex)
  38. discriminant
    b^2- 4ac, NOT the square root of this
  39. forms of quadratic equations
    vertex form, intercept form, standard form
  40. can a function have an odd number of imaginary zeros?
  41. is 'x' a polynomial?
  42. is '5x^2' a polynomial?
    YES!!! (for some reason)
Card Set:
2015-12-13 23:24:09
andrew math
Math study guide
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