Function Rules and Outputs Analysis

Mr. Chen introduces function rules, explaining how inputs are transformed into outputs using function tables. He provides three examples: doubling the input, adding three to a multiple of three, and adding two to a multiple of two. Each example is broken down step-by-step, demonstrating how to identify patterns and derive function rules. The video concludes with a summary of the key concepts.

What is a function rule?

• A rule that shows how an input is transformed into an output.

• A rule that defines the domain of a function.

• A rule that specifies the range of a function.

• A rule that describes the properties of a function.

In the first example, what operation is performed on the input to get the output?

• The input is tripled.

• The input is doubled.

• The input is halved.

• The input is squared.

What is the function rule derived from the first example?

• y = 3x

• y = x + 2

• y = 2x

• y = x - 2

What is the output when the input is zero in the first example?

• Zero

• Six

• Two

• Four

What is the output when the input is three in the first example?

• Twelve

• Six

• Eight

• Ten

In the second example, what is added to the input to get the output?

• Two

• Three

• Four

• Five

What is the function rule derived from the second example?

• y = 3x + 4

• y = 2x + 3

• y = x + 3

• y = 3x + 2

What is the output when the input is one in the second example?

• Four

• Seven

• Ten

• Thirteen

What is the output when the input is three in the second example?

• Nineteen

• Sixteen

• Thirteen

• Ten

What is the output when the input is zero in the second example?

• Ten

• Seven

• Four

• Thirteen