8th Grade: 6.1 Identifying and Representing Functions

Front

What is a function?

Back

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

Front

How can you determine if a relationship is a function?

Back

A relationship is a function if every input has 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 function to be one-to-one?

Back

A one-to-one function is a function where each output is related to exactly one input, meaning no two different inputs produce the same output.

Front

What is a domain in 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 a range in a function?

Back

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

Front

Can a function have the same output for different inputs?

Back

No, a function cannot have the same output for different inputs; this would violate the definition of a function.

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 a non-linear function?

Back

A non-linear function is a function that does not create a straight line when graphed, such as quadratic or exponential functions.

Front

What is an example of a function?

Back

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