STAAR Flashcardizz 8.5G: Identify Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

How can you identify if a set of ordered pairs represents y as a function of x?

Back

A set of ordered pairs represents y as a function of x if no two pairs have the same x-value with different y-values.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine 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 does it mean for y to be a function of x?

Back

It means that for each value of x, there is exactly one corresponding value of y.

Front

Give an example of a set of ordered pairs that represents y as a function of x.

Back

Example: {(1, 2), (2, 3), (3, 4)}.

Front

What is an example of a set of ordered pairs that does NOT represent y as a function of x?

Back

Example: {(1, 2), (1, 3), (2, 4)}.

Front

What is a graph that represents y as a function of x?

Back

A graph where each x-value has only one y-value, such as a straight line or a curve that passes the vertical line test.

Front

What is a graph that does NOT represent y as a function of x?

Back

A graph that fails the vertical line test, such as a circle.

Front

What is the definition of an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where x is the first element and y is the second element.

Front

What is the domain of a function?

Back

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