Domain and Range of Functions

The video tutorial explains the domain and range of functions, focusing on absolute value functions. It describes how the domain of absolute value functions is all real numbers and how the range is determined by the function's transformations. The tutorial also covers how to express domain and range using interval notation and other mathematical shorthand. Additionally, it discusses how transformations like shifts and reflections affect the range of absolute value functions.

What is the domain of a function?

• The set of all possible outputs of a function

• The set of X values that can be used in a function

• The set of all possible inputs and outputs of a function

• The set of Y values that result from a function

Which of the following is true for the domain of absolute value functions?

• It includes only integers

• It includes only positive numbers

• It includes all real numbers

• It includes only negative numbers

How can the domain of a function be expressed?

• Using interval notation, mathematical shorthand, or in words

• Using only interval notation

• Using only words

• Using only mathematical shorthand

What is the range of a function?

• The set of Y values that result from a function

• The set of X values that can be used in a function

• The set of all possible inputs and outputs of a function

• The set of all possible inputs of a function

What is the range of an absolute value function?

• From zero to negative infinity

• From negative infinity to positive infinity

• From negative infinity to zero

• From zero to infinity

How does the domain of an absolute value function change with transformations?

• It becomes limited to negative numbers

• It becomes limited to positive numbers

• It remains all real numbers

• It becomes limited to integers

How does the range of an absolute value function change with transformations?

• It becomes limited to positive numbers

• It becomes limited to negative numbers

• It becomes all real numbers

• It depends on the position of the vertex