Intro to Functions: Review

Front

What is a function in mathematics?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if each x-value is paired with exactly one y-value.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one x-value is paired with more than one y-value.

Front

What is an ordered pair in the context of functions?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph, where x is the input and y is the output.

Front

What is the significance of the x-value in a function?

Back

The x-value represents the input of the function, which is used to determine the corresponding y-value.

Front

What is the significance of the y-value in a function?

Back

The y-value represents the output of the function, which is determined by the input x-value.

Front

What is a vertical line test?

Back

The vertical line test is a method used 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 is a function table?

Back

A function table is a table that displays pairs of input (x) and output (y) values for a function.