f(x) Notation

Letters such as f , g , or h are often used to name functions.

For example , f might be used to name the function

y = 5 – 3x.

To show that this function is named f , it is common to replace y with f(x) (read “f of x”) to get

f(x) = 5 – 3x.

By choosing 2 as a value of x , f(x) becomes 5 – 3.2 = 5 – 6 = -1, written

f(2) = -1.

The corresponding ordered pair is (2, – 1). In a similar manner,

f(-4) = 5 – 3(-4) = 17, f(0) = 5, f(-6) = 23.

and so on.