Function or Not?

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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 a relation to be a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-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) that the function can accept.

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 do you identify a function from a table of values?

Back

A table represents a function if no x-value is repeated with different y-values.

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 the y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, y).

Front

What is a solution to a function?

Back

A solution to a function is an ordered pair (x, y) that satisfies the function's equation.

Front

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

Back

A graph is not a function if there exists at least one x-value that corresponds to more than one y-value.