Exploring Domain and Range in Algebra 1

The video tutorial introduces the concepts of domain and range, explaining their roles in functions. It covers various examples, including surveys, mappings, tables, sales scenarios, and graph analysis, to illustrate how domain and range are applied in different contexts. The tutorial emphasizes the importance of understanding the relationship between independent and dependent variables.

What does the domain of a function represent?

• The input values of a function

• The output values of a function

• The slope of a function

• The highest value of a function

Which of the following best describes the dependent variable in a function?

• The output of the function

• The constant in the equation

• The variable that is manipulated

• The variable that stands alone

How can the range of a function be described?

• The set of all possible input values

• The set of all possible output values

• From top to bottom on a graph

• From left to right on a graph

In the context of test scores and study time, what is considered the domain?

• The number of students surveyed

• The amount of time spent studying

• The scores received on the test

• The average score of the test

What does a mapping diagram help to illustrate?

• The highest and lowest points on a graph

• The relationship between inputs and outputs

• The correlation between variables

• The slope between two points

In a time and distance scenario, what typically represents the range?

• The speed of travel

• The starting point

• The distance covered

• The time elapsed

How is the domain represented in the magazine sales example?

• The number of magazines sold

• The price per magazine

• The initial $20 starting amount

• The total earnings

What notation is used to indicate that a value is included in the domain or range?

• Parentheses

• Brackets

• Quotation marks

• Asterisks

What does an open circle on a graph signify?

• The value is included in the domain/range

• The value is not included in the domain/range

• The highest value of the function

• The starting point of the function

What does interval notation primarily describe?

• The maximum and minimum values of a function

• The slope of a function

• The inputs and outputs within a specific range

• The correlation between two variables