Question

Which of the following statements is true?

A) The dependent variable is the input of the function.
B) The dependent variable determines the domain of the function.
C) In f(x)=2x+1, x is the dependent variable.
D In f(x)=2x+1, f(x) is the dependent variable.

Answer 1

Dependent variable:

Dependent variables are variables which depend on another variable

For example: $y=x^2+x+1$

Here , we can see that value of y is dependent on x

so, y is dependent variable

and y is also output variable

while

x is independent variable

x is also input variable

so,

option-D...........Answer

Answer 2

The dependent value of an equation is f(x). x is the independent value which changes the value of f(x).

A is wrong because dependent value is "dependent" on the input, so it can't be the input itself.

B is wrong because x is the value which effects the domain.

C is wrong because x is the input and needs to be independent.

D is right because f(x) is dependent on the x value on the function.