College Algebra processes, terms and formulas

  1. Define the domain
    x-axis / input / interval
  2. Define the range
    y axis / output / b
  3. What is relative maximum and maxima?
    relative maximum - highest point on the y-axis

    relative maxima - highest point on the x-axis
  4. What is relative minimum and minima
    relative minimum - lowest point on y-axis

    relative minima - lowest point on the x-axis
  5. How do you determine whether the function is even, odd or neither?

    f(x) = x^3 - 2x
    • 1) Replace x with (-x) and solve
    • 2) Even - equations match
    •     Odd  - equations have opposite signs
    •     Neither - Does not match
  6. What characteristics do odd functions have?
    symmetric to origin and must be folded across both axis'
  7. What characteristics do even functions have?
    Symetric to y-axis
  8. How do you determine a peicewise function?
    • 1) Divide values with table by left and right side for equations.
    • 2) Draw transition line to divide equations on graph
  9. How would you notate the dots for a peicewise function on a graph?

    x<2
    >2
    dot is open in on left side of the graph because it does not equal 2
  10. When graphing a peicewise function, how would you notate the points below.

    if x < 2
    if x > 2
    point on the left side does not equal 2 and a
  11. What is the slope formula
    • y2-y1
    • _____

    x2-x1
  12. What is slope intercept form?
    y = mx + b
  13. What is point slope form?
    y - y1 = m(x - x1)
  14. What steps would you take to for the problem below?

    Determine the slope and the y-intercept of the graph of the equation.
    3x + 5y = -2
    • 1) convert to slope intercept form y= mx + b
    • 2) divide mx by 5
    • 3) m = slope 
    • 4) b = y
  15. What steps would you take to for the problem below?

    Find the slope of the line that goes through the given points.

    (2,-3), (-7,8)
    1) convert to slope formula y2-y1 / x2-x1
  16. What steps would you take to for the problem below?

    Graph the linear function by plotting the x and y intercepts.

    1/3x + y - 3 = 0
    • 1) Convert to slope intercept form to solve y
    • 2) Start with original problem and solve for x
  17. What steps would you take to for the problem below?

    Use the given conditions to write an equation for the line in slope-intercept form.

    slope = 3, passing through (3,8)
    • 1) plug in values in point slope formula y-y1 = m(x-x1)
    • 2) convert to slope intercept form y = mx + b
  18. What steps would you take to for the problem below?

    Use the given conditions to write an equation for the line in slope intercept form.

    passing through (1,-8), (-7,8)
    • 1) convert values to slope formula y2-y1 / x2-x1
    • 2) convert values to point slope formula y2-y1 = m(x2-x1)
    • 3) convert values to slope intercept form y = mx + b
  19. What is the characteristic of perpendicular lines?
    The m value or slope in the second equation is an inversion of the first equation.
  20. What steps would you take to for the problem below?

    Determine whther the lines are parallel, perpendicular or neither.

    3x - 2y = 11
    2x + 3y = -7
    • 1) Convert to slope intercept form and solve for y
    • 2) if the m or slope values are inverted = perpendicular
    • 3) if the m or slope values are the same = parallel
    • 4) if the m or slope values don't match = neither
  21. What does it mean if the slope values do not match?
    the lines are neither parallel or perpendicular
  22. What does it mean if the slopes match?
    the lines are parallel
  23. What does it mean to have two slopes that are inverted?
    perpendicular lines
  24. What steps would you take to for the problem below?

    Passing through (3,2) and parallel to the line whose equation is y = 2x - 6 point-slope form.
    • 1) find m or slope value from equation y = mx + b
    • 2) plug slope into point slope form y - y1 = m(x - x1)
  25. What is the distance formula?
    Image Upload 1
  26. What is the midpoint formula?
    Image Upload 2
  27. What is the circle formula?
    Image Upload 3
  28. What is the ellipses formula?
    Image Upload 4
  29. What is the hyperbola formula?
    Image Upload 5
Author
scooby398
ID
350523
Card Set
College Algebra processes, terms and formulas
Description
College Algebra processes, terms and formulas
Updated