Functions 8th Grade

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 if a graph is not a function?

Back

If a graph is not a function, it means that at least one input is associated with more than one output.

Front

What is a mapping in mathematics?

Back

A mapping is a relation that assigns each element from one set to an element in another set.

Front

How can you tell if a mapping is a function?

Back

A mapping is a function if every input is paired with exactly one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the input 1 is associated with two different outputs.

Front

What does it mean for a graph to pass the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value.

Front

What is the significance of the y-axis in a function's graph?

Back

The y-axis represents the output values of the function, showing how the output changes with different input values.

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 which the function is defined.