Pre-Calc Final Exam Equations

Pre-Calc Final Exam Equations - Final Exam Equations Laws...

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Final Exam Equations Laws of Exponents: 1. a m a n = a m + n 2. n m a a = a m-n 3. (a m ) n = a mn 4. (ab) n = a n b n 5. n b a = n n b a 6. n b a - = n a b 7. - - m n b a = n m a b Properties of nth Roots: 1. n ab = n n b a 2. n b a = n n b a 3. m n a = mn a 4. n n a = a if ‘n’ is odd = a if ‘n’ is even 5. n m a / = ( 29 m n a Difference of Perfect Squares: ) )( ( 2 2 b a b a b a + - = +
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Linear Euqation: ax + b = 0 Quadratic Equation: ax 2 + bx + c = 0 Discriminate = b 2 – 4ac Quadratic Formula : a ac b b x 2 4 2 - ± - = Distance Formula : 2 1 2 2 1 2 ) ( ) ( ) , ( y y x x B A d - + - = Midpoint Formula : + + 2 , 2 2 1 2 1 y y x x Equation of a Circle : center (h,k) and radius r ( 29 ( 29 2 2 2 r k y h x = - + - Slope: 1 2 1 2 x x y y m - - = Point Slope Form : for line that passes trough (x 1 , y 1 ) with slope m ) ( 1 1 x x m y y - = - Slope Intercept Form : equation of a line with slope m and y -intercept b b mx y + = Linear Function: b mx x f + = ) ( Constant Function : b x f = ) ( Average Rate of Change : ) ( x f y = between x = a and x = b a b a f b f - - ) ( ) ( Standard Form of a Quadratic : k h x a x f + - = 2 ) ( ) ( If a > 0 then the minimum of f occurs at x = h f(h) = k
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If a < 0 then the maximum of f occurs at x = h
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