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Express the linear equation y = 13x - 4 in function notation.

a) f(x) = 4x + 13
b) f(x) = 13x - 4
c) f(y) = 13 - 4x
d) f(y) = 4 - 13x

1 Answer

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Final answer:

The linear equation y = 13x - 4 can be expressed in function notation as f(x) = 13x - 4. The correct option is b.

Step-by-step explanation:

The linear equation y = 13x - 4 can be expressed in function notation as f(x) = 13x - 4.

The linear equation y = 13x - 4 expresses the relationship between two variables, x and y.

In function notation, this relationship can be written as:

f(x) = 13x - 4

f(x)= the output value (y) for a given input value (x). T

he function f(x) takes the input value x, multiplies it by 13, and then subtracts 4 to produce the output value y.

This notation helps to emphasize that y depends on x and that the output is determined by a defined function.

Employing function notation in this manner provides a standardized and concise means to articulate the mathematical connection between variables, fostering clarity and precision in conveying the linear equation's fundamental structure.

The correct option is b.

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