MATH Test 1 College Algebra questions with answers

Distance Formula - answersd^2 = (x₂ - x₁)^2 - (y₂ - y₁)^2 Midpoint Formula - answers((x₂ + x₁)/2 , (y₂ + y₁)/2) Equation of a Circle - answers√(x - h)^2 + (y - k) ^2 = r a l s o (x - h)^2 + (y - k) ^2 = r^2 NOTE: center (h , k), radius is the distance between f(x) = 2x - answersD is all real numbers because 2x is defined for all real numbers g(x) = 1/x - answersAll real numbers except (x != 0) h(x) = √x - answersD is all non-negative real numbers x = 0 Characteristics of Nonlinear Functions - answers• Graph is not a (straight) line. • Does not have a constant rate of change. • Cannot be written as ƒ(x) = mx + b. • Can have any number of zeros. Average Rate of Change - answersy₂ - y₁/ x₂ - x₁ a l s o f(x₂) - f(x₁) / x₂ - x₁ Point-slope Form - answersy = m(x - x₁) + y₁ or y-y₁ = m(x - x₁) Slope-intercept Form - answersy = mx + b Standard Form - answersAx + By = C Find x and y intercepts - answersx-int = let y = 0, solve y-int = let x = 0, solve Parallel lines - answersTwo nonvertical lines with slope that are equal Solving a parallel line, passing through a point - answers1. Put it into point-slope form 2. Distributive property 3. Put it into slope-intercept form Perpendicular Lines - answersTwo nonvertical lines are perpendicular if the product of their slopes is equal to -1. Solve perpendicular lines, passing through a point - answers1. Point-slope form 2. Negative reciprocal (and opposite x?) 3. Distributive property 4. Slope-intercept form Solving an application using motion - answersDistance d equals rate r times time t, that is, d = rt. In this example we have two rates (or speeds) and two times. Let r1 = 8, r2 = 11, t1 = x, and t2 = 1 - x. The total distance must sum to 10.1 miles.