Finding the rule for a linear function when given a table - How to solve math problems

The video tutorial explains how to determine a linear function from a table of values. It begins by introducing the concept of functions, focusing on input and output values. The teacher explores the use of addition, subtraction, and multiplication to find the correct linear function. After ruling out addition and subtraction, the teacher demonstrates that multiplying by 7 yields the correct function, F(x) = 7x. The tutorial concludes by emphasizing the importance of examining relationships between inputs and outputs to identify linear functions.

Explain how the teacher arrived at the function F of X = 7 * X.

What should you do if adding and subtracting does not work when finding a linear function?