Understanding Functions and Linear Equations

The video tutorial explains how to analyze a function table to determine missing outputs and derive a function rule. It begins by identifying inputs and outputs, recognizing patterns in the table, and using these patterns to find missing values. The tutorial then demonstrates how to write a function rule in slope-intercept form and verify its accuracy by evaluating it with given inputs.

What do the values in the first column of the table represent?

• The outputs of the function

• The range of the function

• The inputs of the function

• The slope of the function

What is the missing output value when the input is +1?

• 0

• -3

• -2

• -1

What does a constant ratio of change in Y to change in X indicate?

• A quadratic equation

• An exponential equation

• A logarithmic equation

• A linear equation

What is the slope of the line derived from the table?

• 0

• -1

• 2

• 1

What is the Y-intercept of the line in the table?

• -1

• 3

• 0

• -3

What is the linear equation derived from the table?

• Y = X + 3

• Y = X - 3

• Y = 3X - 1

• Y = -X + 3

How do you express the function rule using function notation?

• F(N) = N - 3

• F(N) = -N + 3

• F(N) = 3N - 1

• F(N) = N + 3

What is the output when the input is -2 using the function rule?

• 0

• -3

• -5

• -1

What is the output when the input is 2 using the function rule?

• 1

• -1

• 0

• 2

What is the purpose of verifying the function rule with given inputs?

• To find new inputs

• To ensure the rule is correct

• To adjust the Y-intercept

• To change the slope