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Symbols of addition 10

Tham khảo tài liệu 'symbols of addition 10', ngoại ngữ, anh ngữ phổ thông phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | THEA MATH REVIEW Examples x 5 Contains no variable y so you cannot isolate y. This is not a function. 2x 3y 5 Isolate y 2x 3y 5 -2x -2x _3y -2x 5 y - ỉ3 5 3x 3 This is a linear function of the form y mx b. x2 y2 36 Contains y2 so it is not a function. y 5 There is no way to isolate y with a single equation therefore it is not a function. Function Notation Instead of using the variable y often you will see the variable f x . This is shorthand for function of x to automatically indicate that an equation is a function. This can be confusing f x does not indicate two variables f and x multiplied together it is a notation that means the single variable y. Although it may seem thatf x is not an efficient shorthand it has more characters than y it is very eloquent way to indicate that you are being given expressions to evaluate. For example if you are given the equation f x 5x - 2 and you are being asked to determine the value of the equation at x 2 you need to write evaluate the equation f x 5x - 2 when x 2. This is very wordy. With function notation you only need to write determinef 2 . The x inf x is replaced with a 2 indicating that the value of x is 2. This means thatf 2 5 2 - 2 10 - 2 8. All you need to do when given an equationf x and told to evaluate f value replace the value for every occurrence of x in the equation. Example Given the equation f x 2x2 3x 1 determine f 0 and f -1 . f 0 means replace the value 0 for every occurrence of x in the equation and evaluate. f 0 2 0 2 3 0 1 0 0 1 1 f -1 means replace the value -1 for every occurrence of x in the equation and evaluate. f 0 2 -1 2 3 -1 1 2 1 -3 1 2 - 3 1 0 135 ---------------------------------- THEA MATH REVIEW -------------------------------------- Families of Functions There are a number of different types or families of functions. Each function family has a certain equation and its graph takes on a certain appearance. You can tell what type of function an equation is by just looking at the equation or its