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.

What is the primary relationship between input and output in a linear function?

• The input and output are unrelated.

• The output is a function of the input.

• The output is a constant value.

• The input is always greater than the output.

Why was addition and subtraction ruled out as methods to determine the linear function?

• They resulted in incorrect outputs for the given inputs.

• They are not applicable to any functions.

• They are too complex to use.

• They only work for quadratic functions.

What operation was used to determine the linear function in the video?

• Addition

• Division

• Multiplication

• Subtraction

What is the confirmed linear function for the given table of values?

• F of X = X + 2

• F of X = 7X

• F of X = X - 7

• F of X = 2X

What should you do if neither addition nor multiplication helps in finding a linear function?

• Try using division or a combination of operations.

• Give up on finding the function.

• Use only subtraction.

• Use only addition.