Question

what is the output, or dependent variable or quantity?
○ x
○ f(x)
○ y
done ✔

Explanation:

In a function, the independent variable is the input (like \( x \)), and the dependent variable (output) is what depends on the input. \( f(x) \) represents the output of the function \( f \) when the input is \( x \), and \( y \) is also used to represent the dependent variable (output) in equations like \( y = f(x) \). \( x \) is the independent variable (input). So the dependent variables (outputs) are \( f(x) \) and \( y \). But looking at the options, both \( f(x) \) and \( y \) are correct as output/dependent variable. However, in function notation, \( f(x) \) is the output, and \( y \) is also a common symbol for the dependent variable. But if we consider the options, both \( f(x) \) (option B) and \( y \) (option C) are correct. Wait, maybe the question is considering that in function terms, \( f(x) \) is the output, and \( y \) is equivalent. But let's recall: In a function \( y = f(x) \), \( x \) is input (independent), \( y \) (or \( f(x) \)) is output (dependent). So the dependent variables (outputs) are \( f(x) \) and \( y \). So the correct options are B. \( f(x) \) and C. \( y \). Wait, but maybe the question is from a context where both are acceptable. Let's check the options:

• \( x \): independent variable (input), so incorrect.
• \( f(x) \): output (dependent variable), correct.
• \( y \): output (dependent variable, as \( y = f(x) \)), correct.

But maybe the question expects both \( f(x) \) and \( y \) as correct. However, if we have to choose, both \( f(x) \) and \( y \) are dependent variables (outputs). So the correct options are B. \( f(x) \) and C. \( y \).

Answer:

B. \( f(x) \), C. \( y \)