Domain and Range

Front

What is the definition of 'Domain' in 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 definition of '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

What does it mean if a function has a range of y ≤ 2.5?

Back

It means that the output values of the function can be any real number less than or equal to 2.5.

Front

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

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

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

Back

The range is all real numbers greater than or equal to 0, since x^2 cannot be negative.

Front

If a function's graph extends infinitely upwards, what can be said about its range?

Back

The range includes all real numbers greater than or equal to the lowest point on the graph.

Front

What is the domain of the function g(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2, since the function is undefined at that point.

Front

How do you find the range of a linear function?

Back

The range of a linear function is all real numbers unless there are restrictions on the output.

Front

What does it mean if a function has a domain of -7 ≤ x < 5?

Back

It means that the input values (x-values) can be any number from -7 to just below 5.

Front

What is the significance of the notation 'y > 2.5'?

Back

It indicates that the output values of the function are greater than 2.5.