Exploring Function Tables and Graphing Techniques

The video tutorial introduces function tables, starting with their elementary school versions known as input-output charts. It explains the transition to middle school function tables, where inputs are labeled as 'X' and outputs as 'Y', and rules are integrated into equations. The tutorial provides examples of function tables, demonstrates how to deduce equations from them, and explains graphing these tables on a coordinate plane. It also covers finding ordered pairs on graphs and verifying equations, emphasizing the importance of understanding patterns and relationships in math.

What is the output if the input is 5 and the rule is 'add 9'?

• 14

• 15

• 12

• 13

In middle school function tables, what are the input and output variables typically called?

• P and Q

• M and N

• X and Y

• A and B

If the input is 7 and the rule is 'add 4', what is the output?

• 11

• 12

• 13

• 10

What is the equation if the function table shows inputs 0, 2, 5, 9 and outputs 0, 10, 25, 45?

• P = 5H

• P = H - 5

• P = H/5

• P = H + 5

What is the output if the input is 3 and the equation is y = 2x - 4?

• 4

• 8

• 2

• 6

Which of the following ordered pairs fits the equation y = 3x - 4?

• (1, 1)

• (5, 11)

• (8, 4)

• (2, 2)

What is the y-coordinate if x = -2 and the equation is y = 3x?

• -6

• -3

• 0

• 3

If x = 4, what is the y-coordinate for the equation y = x - 3?

• 1

• 2

• 4

• 3

Why does the graph of y = x^2 + 1 look different from the graph of y = 2x - 4?

• It is a straight line

• It has a different slope

• It has an exponent

• It has a different y-intercept

What is the ordered pair for x = 0 in the equation y = 2x - 4?

• (0, -4)

• (0, 0)

• (0, 4)

• (0, -2)