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1314Reviewexam1

# 1314Reviewexam1 - Math 1314 Test 1 Review Review Properties...

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Math 1314: Test 1 Review 1 Math 1314 Test 1 Review Review – Properties of Exponents 1. 1 0 = a 2. n n a a 1 = - 3. n n a a = 1 4. n m n m a a = 5. n m n m a a a + = 6. n m n m a a a - = , 0 a 7. mn n m a a = ) ( 8. n n n b a ab = ) ( 9. n n n b a b a = , 0 b 10. For 1 b , y x b b = if and only if x = y .

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Math 1314: Test 1 Review 2 1. Find the real roots of the following equations. a. 0 49 16 2 4 = - x x b. 6 9 7 2 2 = + + x x Quadratic Formula: a ac b b x 2 4 2 - ± - = c. 6 4 2 2 . 0 = - - x e Inverse Property of Logarithms 1. x b x b = log 2. x b x b = log
Math 1314: Test 1 Review 3 d. 0 10 3 2 2 2 2 = - - x x x e xe e x Recall that a logarithm of a negative number or 0 is undefined. e. 2 ) 1 ln( = x x y b log = is equivalent to x b y = . 2. Use properties of logarithm to expand. + y x x 5 2 3 log The Product Rule N M MN b b b log log log + = The Quotient Rule N M N M b b b log log log - = The Power Rule M P M b P b log log = 3. Write as a single logarithm. ) 1 ( log 5 log 2 log 4 1 2 2 2 + - - x x

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Math 1314: Test 1 Review 4 Recall the rules for the end behavior of a polynomial function. Odd Degree Odd Degree Sign of the leading coefficient is (+) Sign of the leading coefficient is (-) Even Degree Even Degree Sign of the leading coefficient is (+) Sign of the leading coefficient is (-)

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1314Reviewexam1 - Math 1314 Test 1 Review Review Properties...

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