# College Algebra processes, terms and formulas

 .remove_background_ad { border: 1px solid #555555; padding: .75em; margin: .75em; background-color: #e7e7e7; } .rmbg_image { max-height: 80px; } Define the domain x-axis / input / interval Define the range y axis / output / b What is relative maximum and maxima? relative maximum - highest point on the y-axis relative maxima - highest point on the x-axis What is relative minimum and minima relative minimum - lowest point on y-axis relative minima - lowest point on the x-axis How do you determine whether the function is even, odd or neither? f(x) = x^3 - 2x 1) Replace x with (-x) and solve2) Even - equations match    Odd  - equations have opposite signs    Neither - Does not match What characteristics do odd functions have? symmetric to origin and must be folded across both axis' What characteristics do even functions have? Symetric to y-axis 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 How would you notate the dots for a peicewise function on a graph? x<2 x >2 dot is open in on left side of the graph because it does not equal 2 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 What is the slope formula y2-y1_____ x2-x1 What is slope intercept form? y = mx + b What is point slope form? y - y1 = m(x - x1) 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 + b2) divide mx by 53) m = slope 4) b = y 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 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 y2) Start with original problem and solve for x 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 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-x12) convert values to point slope formula y2-y1 = m(x2-x1)3) convert values to slope intercept form y = mx + b What is the characteristic of perpendicular lines? The m value or slope in the second equation is an inversion of the first equation. 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 y2) if the m or slope values are inverted = perpendicular3) if the m or slope values are the same = parallel4) if the m or slope values don't match = neither What does it mean if the slope values do not match? the lines are neither parallel or perpendicular What does it mean if the slopes match? the lines are parallel What does it mean to have two slopes that are inverted? perpendicular lines 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 + b2) plug slope into point slope form y - y1 = m(x - x1) What is the distance formula? What is the midpoint formula? What is the circle formula? What is the ellipses formula? What is the hyperbola formula? .remove_background_ad { border: 1px solid #555555; padding: .75em; margin: .75em; background-color: #e7e7e7; } .rmbg_image { max-height: 80px; } Authorscooby398 ID350523 Card SetCollege Algebra processes, terms and formulas DescriptionCollege Algebra processes, terms and formulas Updated2020-02-07T02:05:33Z Show Answers