Evaluating Linear Functions and Operations

The video tutorial explains how to create an input-output table for a function using the domain values 0, 1, 2, and 3. It clarifies that the domain is the same as the input and demonstrates how to calculate the output for each input using the function Y = 3X + 2. The tutorial emphasizes the importance of following the order of operations (PEMDAS) to ensure accurate calculations.

What is the domain in the context of input-output tables?

• The function used to calculate outputs

• The set of possible inputs

• The table used to display results

• The range of possible outputs

In an input-output table, what does X typically represent?

• The domain

• The output

• The function

• The input

What is the output when the input is 0 in the function Y = 3X + 2?

• 2

• 3

• 5

• 0

How do you calculate the output for an input of 1 using the function Y = 3X + 2?

• 3 * 1 + 2 = 4

• 3 * 1 + 2 = 6

• 3 * 1 + 2 = 3

• 3 * 1 + 2 = 5

What is the result of 3 * 2 + 2 in the function Y = 3X + 2?

• 8

• 10

• 12

• 6

Why is it important to follow the order of operations in calculations?

• To ensure the correct sequence of addition and subtraction

• To avoid errors in multiplication and division

• To maintain consistency in calculations

• To ensure multiplication is done before addition

What is the output when the input is 3 in the function Y = 3X + 2?

• 11

• 12

• 10

• 9