The solution to linear inequalities graphed on an xy-plane is the shaded region of points that make the inequality true. More on Function Notation is given in the Passport to Advanced Mathematics section. Using this same function, f(3) would mean that 3 is the input value. This means that by inputting 2 into the function, the output is 18. This function states that the input is multiplied by 5 and then 8 is added to the value. Let's use the function f(x) = 5x + 8 as an example. Similarly, f(x) = 4x + 3 and g(x) = 4x + 3 and p(a) = 4a + 3 all refer to a function where the input is multiplied by 4 and then 3 is added to the value.įunction notation can also specify certain input and output pairs. For example, y = 4x + 3 could be rewritten as h = 4s + 3, where both y and h refer to the output, and x and s refer to the input of a linear function. And y = -3x + 8 could be written as f(x) = -3x + 8 in function notation.Īlthough f(x) = "expression" is the basic form of function notation, other letters besides f and x can also be used, just as linear equations can be written with variables other than x and y. height).įor example, f(x) = 2x - 5 is the function notation equivalent of y = 2x - 5. In the regular x and y coordinate graphing system, f(x) takes the place of y, the graph's output (a.k.a. The x inside the parenthesis represents the input of the function. In basic function notation f(x) (read "f of x") represents the output of a function. Function notation is a slightly different method of writing equations than we've discussed so far.
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