Question

Write the following linear equation in function notation: y = 13x - 4.

a) f(x) = 13x - 4
b) g(x) = 13x - 4
c) h(x) = 13x - 4
d) k(x) = 13x - 4

Answer 1

To express the linear equation y = 13x - 4 in function notation, replace 'y' with a function name, resulting in f(x) = 13x - 4 or any other function label such as g, h, or k, with the same formula.

Step-by-step explanation:

To write the linear equation y = 13x - 4 in function notation, you simply replace the 'y' with the function name followed by (x). In function notation, the equation can be written as any of the following options: a) f(x) = 13x - 4, b) g(x) = 13x - 4, c) h(x) = 13x - 4, or d) k(x) = 13x - 4. The letter used to denote the function (f, g, h, or k) does not affect the essence of the equation; it is merely a label that can be chosen arbitrarily. Each of these options correctly represents the given linear equation as a function of x.