Function Rules and Outputs

This video tutorial covers the concept of functions and tables, focusing on input-output relationships and function rules. It explains how to create function tables, perform calculations, and use backward strategies to find inputs from outputs. The tutorial also includes graphing functions and interpreting graphs, with practical examples involving hummingbirds and travel scenarios.

What is the main focus of Chapter 8, Lesson 1?

• Learning about algebraic expressions

• Understanding functions and tables

• Exploring geometry concepts

• Studying probability and statistics

How many wing beats does a ruby-throated hummingbird make in two seconds?

• 52

• 208

• 104

• 156

What is the function rule for the number of wing beats in 's' seconds for a ruby-throated hummingbird?

• s + 52

• s - 52

• s * 52

• s / 52

If a giant hummingbird beats its wings 10 times per second, how many beats occur in 3 seconds?

• 20

• 35

• 25

• 30

What is a function in mathematical terms?

• A relation that assigns no output to any input

• A relation that assigns one output to multiple inputs

• A relation that assigns exactly one output to one input

• A relation that assigns multiple outputs to one input

In a function, what is the independent variable?

• The variable that depends on the output

• The variable that can be any number you choose

• The variable that is always constant

• The variable that is always zero

What is the function rule if the output is seven more than the input?

• X * 7

• X - 7

• X / 7

• X + 7

If the output is five times the input, what is the function rule?

• 5 + X

• 5 - X

• 5 / X

• 5 * X

What is the output if the input is 10 and the function rule is X + 7?

• 15

• 16

• 17

• 18

What is the output if the input is 8 and the function rule is 5 * X?

• 30

• 45

• 35

• 40