Domain and Range of Functions

This video tutorial explains how to find the domain and range of various types of functions, including linear, quadratic, radical, absolute value, exponential, and rational functions. Each function type is discussed with examples, highlighting the conditions and methods to determine their domain and range.

What does the domain of a function represent?

• The maximum value of the function

• The minimum value of the function

• The set of all possible x-values

• The set of all possible y-values

What is the range of a function?

• The set of all possible x-values

• The set of all possible y-values

• The minimum y-value

• The maximum x-value

For the function f(x) = x, what is the domain?

• x = 0

• All real numbers

• x < 0

• x > 0

For the function f(x) = x + 1, what is the range?

• y < 0

• y > 0

• All real numbers

• y = 0

What is the domain of the quadratic function f(x) = x²?

• x > 0

• x < 0

• x = 0

• All real numbers

For the quadratic function f(x) = x² + 2, what is the range?

• All real numbers

• y ≤ 2

• y = 0

• y ≥ 2

What condition must be met for the domain of a radical function?

• x must be a positive integer

• x must be equal to zero

• x must be greater than or equal to zero

• x must be less than zero

For the function f(x) = √(x - 4), what is the domain?

• x < 4

• x > 4

• x ≤ 4

• x ≥ 4

What is the range of the function f(x) = |x|?

• y ≤ 0

• y ≥ 0

• All real numbers

• y = 0

For the function f(x) = |x + 2|, what is the domain?

• x = -2

• All real numbers

• x > -2

• x < -2