Math Exam Review - • Horizontal Line Test – Test to see...

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Types of numbers o Real Numbers Natural Numbers – [1,2,3,4…] Integers – […-2, -1, 0, 1, 2…] Rational Numbers – […1, -½, -¼, -.1, 0, ¼, ½, 1…] o Irrational Numbers – [ 5 , π , 3 ] Scientific Notation o 1234 = 1.234 * 10 3 o 0.054 = 5.4 * 10 -2 Mean (Average) – n x x x x n 3 2 1 + + + Median – Middle of a sorted list Domain – x-values Range – y-values Distance Formula o d = ) ( ) ( 1 2 1 2 2 2 y y x x - - + Midpoint Formula – (Average of x, average of y) Linear Function – f(x) = ax + b Point-slope Form – y = m(x - x 1 ) + y 1 Slope-intercept Form y = mx + b o m = slope o b = y-intercept o Find the equation of a line o Perpendicular o Parallel Piecewise function Quadratic Equation – f(x) = ax 2 + bx + c Parabola – f(x) = a(x - h) 2 + k o Vertex: (h,k) Vertex Formula – x = a b 2 - Completing the Square Factoring Discriminant
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One-to-one Function – Different inputs always result in different outputs
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Unformatted text preview: • Horizontal Line Test – Test to see if function is one-to-one • Exponential Function – f(x) = Ca x • Natural Exponential Function – f(x) = e x • Compound Interest – A = P(1 + r/n) nt o P – Principle o r – Interest o n - # of times per year o t - # of years • Continuously Compounded Interest – A = P e rt o P – Principle o r – Interest o t – Number of years • Logarithms o log x = k x = 10 k o ln x = k x = e k o log a x = k x = a k • Properties of Logarithms o Log a 1 = 0 and log a a = 1 o Log a m + log a n = log a (mn) o Log a m - log a n = log a (m/n) o Log a (m r ) = rlog a m • Log a x = log b x/log b a • Solving Logarithmic Equations • Matrices...
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