Function of the Week (4)

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.

Front

What is the range of a function?

Back

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

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.

Front

What is a real number?

Back

A real number is any value that can represent a distance along a line, including all rational and irrational numbers.

Front

How do you determine the domain of a function from its graph?

Back

The domain can be determined by identifying the x-values for which the graph exists.

Front

How do you determine the range of a function from its graph?

Back

The range can be determined by identifying the y-values that the graph reaches.

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 a negative trend in a function?

Back

A negative trend indicates that as the input values increase, the output values decrease.

Front

What is the significance of identifying the domain and range of a function?

Back

Identifying the domain and range helps understand the behavior and limitations of the function.

Front

What is an example of a function with all real numbers as its domain?

Back

An example is the function f(x) = x, which is defined for all real numbers.