Function (mathematics)

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/function-mathematics

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the sets involved?Domain (X), Codomain (Y), and Range (subset of Y)
2. What is the mathematical centrality?Considered fundamental and central to most mathematical disciplines
3. What is a function in math?A function is a rule that takes each input from a set (the domain) and gives exactly one output in another set (the codomain). It’s like a machine that never gives two different answers for the same input.
4. How do we find the output of a function?We evaluate the function by putting the input into its rule. For example, if f(x) = x² + 1, then f(4) = 4² + 1 = 17.

Domain: The set of all valid input values for which a function is defined.
Codomain: The set of all possible output values that a function's rule might produce.
Range: The actual set of output values produced by a function for its given domain.
Function Evaluation: The process of computing the specific output value for a given input value using the function's rule.