2 Domain and Range

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

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

Front

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

Back

By identifying the lowest and highest points on the y-axis that the graph reaches.

Front

What does it mean if a function has a Domain of 'All real numbers'?

Back

It means that the function can accept any real number as an input.

Front

What is the Domain of the function f(x) = 1/x?

Back

All real numbers except x = 0, since division by zero is undefined.

Front

How do you find the Domain of a function given its graph?

Back

By looking at the x-values that the graph covers.

Front

What is the Range of the function f(x) = x^2?

Back

The Range is y ≥ 0, since the output of x^2 is always non-negative.

Front

What is the significance of the endpoints in determining the Range?

Back

Endpoints indicate the minimum and maximum values of the output (y-values) of the function.

Front

If a function has a Range of -3 ≤ y < 1, what does this mean?

Back

The output values of the function are greater than or equal to -3 and less than 1.

Front

What is the graphical representation of a function's Domain?

Back

The horizontal extent of the graph, showing all x-values for which the function is defined.