 By CK-12 Foundation

ISBN-10: 1935983148

ISBN-13: 9781935983149 By CK-12 Foundation

ISBN-10: 1935983148

ISBN-13: 9781935983149

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Extra info for CK-12 Basic Algebra, Volume 1

Sample text

The coordinate represents the dependent variable, meaning the values of this variable depend upon what is substituted for the other variable. Consider Joseph舗s equation . Using function notation, the value of the equation (the money spent ) is replaced with . represents the function name and represents the variable. In this case the parentheses do not mean multiplication; they separate the function name from the independent variable. Example 2: Rewrite the following equations in function notation.

Checking an answer to an equation is almost as important as the equation itself. By substituting the value for the variable, you are making sure both sides of the equation balance. Example 3: Check that is the solution to the equation . Solution: To check that is the solution to the equation, substitute the value of 5 for the variable, : Because is a true statement, we can conclude that is a solution to . Example 4: Is a solution to ? Solution: Begin by substituting the value of 3 for . Because is NOT a true statement, we can conclude that is not a solution to .

B. c. Solution: a. According to the definition of a function, , so . b. This time the dependent variable is . Function notation replaces the dependent variable, so . c. Why Use Function Notation? Why is it necessary to use function notation? The necessity stems from using multiple equations. Function notation allows one to easily decipher between the equations. 00 for each ride. Each person would have the same equation . Without asking each friend, we could not tell which equation belonged to whom.