Function Tables and Rules

The video tutorial explains how to fill in function tables using two-step rules. It provides two example problems: one using the function rule y = 5x + 4 and another using y = 2 + 3x. The instructor demonstrates how to substitute given x-values into these equations to find corresponding y-values. The video concludes with a verification of the results, ensuring the correct answers are obtained.

What is the purpose of using function tables with two-step rules?

• To memorize formulas

• To organize input and output values

• To create graphs

• To solve complex equations

What is the first step in filling out a function table?

• Draw the table

• Identify the function rule

• Choose random numbers

• Calculate the output values

In the function rule y = 5x + 4, what does the number 5 represent?

• The output value

• The coefficient of x

• The constant term

• The input value

If x = 4 in the function y = 5x + 4, what is the value of y?

• 20

• 28

• 32

• 24

What is the value of y when x = 6 in the function y = 5x + 4?

• 36

• 34

• 32

• 30

In the function y = 5x + 4, what happens to y as x increases?

• y remains constant

• y decreases

• y becomes zero

• y increases

In the function rule y = 2 + 3x, what does the number 2 represent?

• The coefficient of x

• The constant term

• The input value

• The output value

If x = 8 in the function y = 2 + 3x, what is the value of y?

• 30

• 28

• 26

• 24

What is the value of y when x = 10 in the function y = 2 + 3x?

• 30

• 32

• 34

• 36

In the function y = 2 + 3x, what is the effect of the coefficient of x?

• It has no effect

• It changes the y-intercept

• It shifts the graph horizontally

• It determines the slope of the line