Understanding Functions and Their Properties

Front

What is a function?

Back

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

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is the range of a function?

Back

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

Front

What does 'f(x)' represent in a function?

Back

'f(x)' represents the output value of the function for a given input x.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; its decimal form is non-repeating and non-terminating.

Front

How do you simplify the expression 3(2c - 5)?

Back

The simplified expression is 6c - 15.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line intersects the curve at more than one point, it is not a function.

Front

What is the notation for the set of all input values in a function?

Back

The notation for the set of all input values is 'Domain'.