Linear function

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/linear-function

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 linear algebra definition?A linear map preserving vector addition and scalar multiplication between vector spaces
2. What is the core property (linear algebra)?Preserves vector addition and scalar multiplication
3. What is a linear function in math?It is a straight‑line graph that changes at a constant rate, also called an affine function.
4. How do linear functions help us in everyday life?They model things like constant speed, springs, electricity, supply and demand, and help computers run simple algorithms.

Linear Map: A function between vector spaces that maintains their algebraic structure.
Vector Space: A collection of vectors that can be added together and multiplied by scalars.
Linearization: Approximating a complex function with a simpler linear function near a specific point.