Functions Flashcard (Math 8 24-25)

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) that a function can produce.

Front

What does the Vertical Line Test determine?

Back

The Vertical Line Test determines if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form y = mx + b.

Front

What is an example of a linear function?

Back

y = 2x + 4 is an example of a linear function.

Front

What is an increasing interval in a function?

Back

An increasing interval is a section of the graph where the function's output values (y-values) increase as the input values (x-values) increase.

Front

What is a decreasing interval in a function?

Back

A decreasing interval is a section of the graph where the function's output values (y-values) decrease as the input values (x-values) increase.

Front

What is the purpose of the Horizontal Line Test?

Back

The Horizontal Line Test determines if a function is one-to-one; if a horizontal line intersects the graph at more than one point, the function is not one-to-one.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets of values.