Identify-Construct-Conmpare _Function Grade 8

Front

What is a function in mathematics?

Back

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

Front

How can you identify a function from an input-output table?

Back

A function can be identified if each input corresponds 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 'not a function'?

Back

A relation is 'not a function' if at least one input is associated with multiple outputs.

Front

What is an example of a function?

Back

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

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 has two different outputs.

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if every x-coordinate has only one corresponding y-coordinate.

Front

What is the significance of the output in a function?

Back

The output is the result of applying the function to an input, representing the dependent variable.

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 the function.