Understanding Domains and Ranges of Functions

The video tutorial covers a comprehensive review of functions, including definitions of domain, range, and behavior. It explores various types of functions such as linear, quadratic, cubic, absolute value, square root, reciprocal, exponential, and trigonometric functions. Each function's domain, range, intervals of increase and decrease, and end behavior are discussed. The tutorial also explains concepts like asymptotes and periodicity in trigonometric functions.

What is the domain of a function?

• The set of all possible outputs

• The set of all negative numbers

• The set of all positive numbers

• The set of all possible inputs

What does the range of a function represent?

• All possible t-values

• All possible z-values

• All possible y-values

• All possible x-values

What is an interval of increase in a function?

• Where the x-values decrease as y increases

• Where the y-values increase as x increases

• Where the y-values remain constant

• Where the y-values decrease as x increases

What is a vertical asymptote?

• A point where the graph crosses the x-axis

• A point where the graph crosses the y-axis

• A line the graph approaches vertically

• A line the graph approaches horizontally

What is a horizontal asymptote?

• A point where the graph crosses the x-axis

• A line the graph approaches vertically

• A line the graph approaches horizontally

• A point where the graph crosses the y-axis

What defines a continuous function?

• A function without breaks or holes

• A function that only decreases

• A function with breaks or holes

• A function that only increases

What is the domain of a linear function?

• Only negative numbers

• Only integers

• Only positive numbers

• All real numbers

What is the range of a linear function?

• Only negative numbers

• Only positive numbers

• Only integers

• All real numbers

What is the domain of a quadratic function?

• Only integers

• Only negative numbers

• Only positive numbers

• All real numbers

What is the range of a quadratic function?

• Only positive numbers

• Only integers

• All real numbers

• Only negative numbers