Math Problem Statement

A function is a rule that assigns each value of the independent variable to exactly ____ value of the dependent variable.

Solution

The question asks to complete the following statement:

"A function is a rule that assigns each value of the independent variable to exactly ____ value of the dependent variable."

The correct answer is "one".

So, the complete statement would be:

"A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable."

Would you like more details or have any other questions? Here are five related questions to help deepen your understanding:

  1. What is the difference between a function and a relation?
  2. Can a function have two dependent values for one independent value?
  3. What is an example of a function and a non-function in real life?
  4. What is the domain and range of a function?
  5. How do you determine if a graph represents a function?

Tip: To verify whether a relation is a function, you can use the vertical line test on its graph. If any vertical line crosses the graph more than once, it is not a function.

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Math Problem Analysis

Mathematical Concepts

Functions
Dependent and Independent Variables

Formulas

-

Theorems

Definition of a Function

Suitable Grade Level

Grades 8-10