Understanding Domains and Ranges of Functions

This video tutorial explores various parent functions, including linear, quadratic, cubic, square root, and reciprocal functions. Each function's domain, range, intercepts, and increasing or decreasing behavior are discussed. The video provides a foundational understanding of these basic functions without transformations.

What is a parent function?

• The simplest form of a function

• A function with only horizontal shifts

• A function with transformations applied

• A function with only vertical shifts

What is a characteristic of a parent function?

• It is the simplest form of a function

• It is the most complex form of a function

• It has multiple transformations

• It only includes vertical shifts

Which of the following is true about the domain of a linear function?

• It is limited to positive numbers

• It includes all real numbers

• It is limited to negative numbers

• It includes only integers

What is the range of a linear function?

• Negative infinity to zero

• Zero to positive infinity

• All real numbers

• Only positive integers

Where does the graph of a linear function intersect the axes?

• At (0,1)

• At (0,0)

• At (1,0)

• At (1,1)

What is the behavior of a linear function?

• It can be both increasing and decreasing

• It is neither increasing nor decreasing

• It is always decreasing

• It is always increasing

What is the domain of a quadratic function?

• Only integers

• Only positive numbers

• Only negative numbers

• All real numbers

What is the range of a quadratic function?

• Negative infinity to zero

• Zero to positive infinity

• All real numbers

• Only positive integers

Where is a quadratic function increasing?

• From negative infinity to zero

• From zero to positive infinity

• From negative infinity to positive infinity

• It is not increasing

Where is a quadratic function decreasing?

• From negative infinity to positive infinity

• From negative infinity to zero

• It is not decreasing

• From zero to positive infinity