By R. Aufmann
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Extra resources for eCompanion for Aufmann and Lockwood's Intermed. Algebra
Because there are two ordered pairs, (4, 8) and (4, 6), with the same first coordinate and different second coordinates, the relation is not a function. Solution A function is frequently given by an equation. To emphasize that the equation represents a function, function notation is used. The square function is written in function notation as f ( x ) = x 2 . ” The process of determining f ( x) for a given value of x is called evaluating a function. Just as the variable x is commonly used to represent a number, the letter f is commonly used to name a function.
First-Degree Equations and Inequalities Prep Test For Exercises 1 to 5, add, subtract, multiply, or divide. 1. 8 – 12 3. 5 4 5. − 8 5 −18 −6 2. -9 + 3 3 4 4. − − 4 3 For Exercises 6 to 9, simplify. 6. 3x − 5 + 7 x 7. 6( x − 2) + 3 8. n + ( n + 2) + ( n + 4) 9. 05( 400 − x ) 10. Twenty ounces of a snack mixture contains nuts and pretzels. Let n represent the number of ounces of nuts in the mixture. Express the number of ounces of pretzels in the mixture in terms of n. 17 Copyright 2010 Cengage Learning.
The Multiplication Property of Equations If a, b, and c are algebraic expressions, and c ≠ 0, then the equation a = b has the same solutions as the equation ac = bc. The Multiplication Property of Equations states that we can multiply each side of an equation by the same nonzero number without changing the solution of the equation. Example 2 Solve: − Solution 3 x = 12 4 4 3 4 − − x = − (12) 3 4 3 − 3 x = 12 4 x = −16 Steps • Multiply each side of the equation 4 3 by − , the reciprocal of − .