Identify-Construct-Conmpare _Function Grade 8

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

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

Back

A function can be identified if no input value is repeated with different output values.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

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 y 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 y^2 = x, where one x value can correspond to two y values.

Front

What is the definition of input in a function?

Back

Input is the value that is put into a function to obtain an output.

Front

What is the definition of output in a function?

Back

Output is the value that results from applying the function to an input.

Front

What does it mean for a relation to be one-to-one?

Back

A one-to-one relation means that each input corresponds to a unique output and vice versa.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.