151-152-153%20Algebra%20review

151-152-153%20Algebra%20review - Algebra and Trig Review...

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Algebra and Trig Review for Math 151/152/153 1. Functions a. What is a function? b. Domain and range Domain: R a n g e : Things to keep in mind when looking for Domain: 1 . 2 . 3 . 4 . Ex: find the domain and range for  4 fx x c. Function Values Ex: Given that   2 23  , find   3 f ,   3 , and 2 . d. Composition of functions Ex: If 1  and   2 2 g xx , find     fgx and gfx
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2. Factoring a. Difference of Squares: ) )( ( ) ( 2 2 b ax b ax b ax b. Perfect Square Polynomial: 2 2 2 2 2 2 2 2 ) ( 2 ) ( 2 b ax b abx x a b ax b abx x a c. Difference of Cubes: ) )( ( 2 2 2 3 3 3 b abx x a b ax b x a d. Sum of Cubes: ) )( ( 2 2 2 3 3 3 b abx x a b ax b x a e. Factoring Trinomials and Binomials Ex: 2 34 xx  Ex: 3 65 4 Ex:  32 12 3 36 x 3. Lines a. Slope   21 yy y m b. Slope intercept form mx b c. Point-slope form   11 ymxx  Ex: Find an equation of the line through the points (3, 5) and (0, 7).
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4. Solving Linear Equations Ex: Solve 97 3 4 x  5. Solving Quadratic Equations a. By Factoring Ex: Solve 2 23 9 xx  b. By Quadratic Formula 2 4 2 bb a c  Ex: Solve 2 35 1 0  6. Solving Inequalities a. Ex: Solve (2 ) (4 ) 0 (8 ) b. Ex: Solve (3 ) ) 0 (1 )
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7. Logs and Exponents Exponent Rules 1.
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151-152-153%20Algebra%20review - Algebra and Trig Review...

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