Identifying Functions and Finding Domain and Range

The video tutorial covers the concept of functions, explaining how to identify them using mapping diagrams and the vertical line test. It discusses the roles of independent and dependent variables and how to determine the domain and range of a function. The tutorial includes practice exercises to reinforce learning.

What is a relation in mathematics?

• A mathematical operation

• A type of graph

• A single number

• A set of ordered pairs

Which of the following is true about a function?

• Each input can have multiple outputs

• Each input has exactly one output

• Each output is independent of inputs

• Each output has multiple inputs

What does the vertical line test determine?

• If a graph is symmetrical

• If a function is linear

• If a relation is a function

• If a graph is a circle

In a mapping diagram, what indicates that a relation is not a function?

• An input maps to multiple outputs

• All outputs map to the same input

• An output maps to multiple inputs

• All inputs map to the same output

What is an independent variable?

• A variable that depends on another

• A variable that represents output values

• A variable that represents input values

• A variable that is constant

What is the relationship between independent and dependent variables?

• Independent variables depend on dependent variables

• Dependent variables rely on independent variables

• Dependent variables determine independent variables

• They are unrelated

How is the range of a function defined?

• The difference between the highest and lowest values

• The set of all possible output values

• The set of all possible input values

• The average of all values

Which of the following is a correct statement about domain?

• It includes all possible y-values

• It is the set of all possible x-values

• It is always finite

• It is the same as the range

What does a finite set of values in a function indicate?

• The function is undefined

• The function is infinite

• The function has a limited number of points

• The function is continuous

If a function's domain is all real numbers, what does this mean?

• The function is undefined

• The function has no range

• The function can take any real number as input

• The function is finite