In the expression Y = f(Xn) Y, the output, is the _ variable and Xn, the inputs, are the variables.

The correct answer is D. Dependent, independent. Option D is correct because in the function Y = f(Xn), Y is the dependent variable - its value depends on what Xn inputs are provided - while Xn represents the independent variables, meaning they are freely chosen or controlled inputs that drive the output. Option A reverses…

Define

Question

In the expression Y = f(Xn) Y, the output, is the ___________ variable and Xn, the inputs, are the __________ variables.

Options

AIndependent, dependent
BIndividual, multiple
CSole, multiple
DDependent, independent

How the community answered

(38 responses)

A
8% (3)
B
3% (1)
C
18% (7)
D
71% (27)

Explanation

Option D is correct because in the function Y = f(Xn), Y is the dependent variable - its value depends on what Xn inputs are provided - while Xn represents the independent variables, meaning they are freely chosen or controlled inputs that drive the output. Option A reverses this relationship entirely, which is the most common mistake. Options B and C ("Individual/multiple" and "Sole/multiple") describe quantity, not the causal relationship between variables, making them irrelevant to what the expression actually conveys. Memory tip: Think "Y depends on X" - whatever comes out of the function (Y) is dependent, and whatever goes in (X) is independent, since you independently choose the inputs.

Topics

#Y=f(X)#dependent variable#independent variable#process equation

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