Traditionally, attributes are described by single letter names, such as f, g, h and for this reason on. Any kind of letter(s), however, may be supplied to name a function. Examples:
The f (x) notation is another method of representing the y-value in a function, y = f (x). The y-axis may even be labeled as the f (x) axis, when graphing. notified pairs might be created as (x, f (x)), rather of (x, y).
Note: The notation f : X → Y tells us that the function"s surname is "f " and its ordered pairs are developed by an element x indigenous the collection X, and also by an element y native the set Y. (The arrow → is review "is mapped to".) it permits for individual duty names to prevent confusion regarding which duty is being examined. names have different letters, such together f (x) and g (x). The graphing calculator walk distinctive function naming v Y1, Y2, ... it quickly identifies the independent change in a problem. f (x) = x + 2b + c, where the change is "x". it conveniently states which element of the role is to it is in examined. Find f (2) when f (x) = 3x, is the same as saying, "Find y as soon as x = 2, for y = 3x."
(the bar arrow way the facet "x is mapped/matched come 3x + 2")
To evaluate a function, instead of the entry (the provided number or expression) for the function"s change (place holder, x). replace the x v the number or expression. Given the function f (x) = 3x - 5, uncover f (4). Solution: instead of 4 into the function in place of x. f (4) = 3(4) - 5 = 7. This answer can be assumed of together the bespeak pair (4,7). The answer may also be referred to as the picture of 4 under f (x). Find the worth of h (b) = 3b2 - 2b + 1 once b = -3. Solution: Substitute -3 right into the role in ar of b. h (-3) = 3(-3)2 - 2(-3) + 1 = 34. Find g (2w) when g (x) = x2 - 2x + 1. Solution: When substituting expressions, like 2w, right into a function, using parentheses will help prevent algebraic errors. Because that this problem, usage (2w). g (2w) = (2w)2 - 2(2w) + 1 = 4w2- 4w +1 (Note: the prize is in regards to w.