Questions: Question 9 of 10 True or false? A function assigns each value of the dependent variable to more than one value of the independent variable. A. True B. False SUBMIT

Solution Steps

To determine whether the statement is true or false, we need to understand the definition of a function. A function assigns each value of the independent variable (input) to exactly one value of the dependent variable (output). If a value of the dependent variable is assigned to more than one value of the independent variable, it does not meet the definition of a function.

A function \( f \) from a set \( X \) to a set \( Y \) assigns each element \( x \) in \( X \) to exactly one element \( y \) in \( Y \). This means that for every \( x \in X \), there is a unique \( y \in Y \) such that \( f(x) = y \).

The statement says: "A function assigns each value of the dependent variable to more than one value of the independent variable."

According to the definition of a function, each value of the independent variable (input) should map to exactly one value of the dependent variable (output). The given statement contradicts this definition by suggesting that a value of the dependent variable can be assigned to more than one value of the independent variable.

Final Answer