Domain and Range of Functions

The video tutorial covers the concepts of domain and range, both graphically and algebraically. It begins with an introduction to these concepts, followed by a detailed analysis of how to find domain and range using graphs. The tutorial then explores algebraic methods for determining domain and range for quadratic, radical, and rational functions, providing examples and explanations for each type.

What is the domain of a function?

• The set of all x values for which a function is defined.

• The set of all values for which a function is undefined.

• The set of all y values for which a function is defined.

• The set of all z values for which a function is defined.

What does an arrow on the graph signify?

• The function continues indefinitely in that direction.

• The function stops at that point.

• The function is undefined at that point.

• The function has a hole at that point.

What is the range of a function?

• The set of all x values for which a function is defined.

• The set of all values for which a function is undefined.

• The set of all z values for which a function is defined.

• The set of all y values for which a function is defined.

How do you determine the domain of a quadratic function?

• By finding the y values that make the function undefined.

• By finding the x values that make the function undefined.

• By finding the y values that make the function defined.

• By finding the x values that make the function defined.

What is the domain of the function f(x) = x^2 + 7x - 6?

• All real numbers

• x < 0

• x = 0

• x > 0

What is the range of the function f(x) = x^2 + 7x - 6?

• y ≤ -18.25

• y ≥ -18.25

• y = 0

• All real numbers

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

• x = 0

• All real numbers

• x ≤ 0

• x ≥ 0

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

• All real numbers

• y = 0

• y ≥ 0

• y ≤ 0

What is the domain of the function f(x) = √(2-x)?

• x ≥ 2

• All real numbers

• x = 2

• x ≤ 2

What is the range of the function f(x) = √(2-x)?

• y ≤ 0

• y ≥ 0

• All real numbers

• y = 0