Domain and Range Practice

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

How do you determine the domain of a function given a set of points?

Back

The domain is found by identifying all the unique x-values from the given points.

Front

How do you determine the range of a function given a set of points?

Back

The range is found by identifying all the unique y-values from the given points.

Front

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

Back

The domain is all real numbers except x = 0.

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.

Front

What does it mean for a function to have a range of all real numbers less than or equal to -3?

Back

It means that the output values (y-values) of the function can be any number up to and including -3.

Front

Given the function f(x) = -x^2, what is the range?

Back

The range is all real numbers less than or equal to 0.

Front

What is the domain of the function represented by the points {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

The domain is {-4, 0, 1, 2}.

Front

What is the range of the function represented by the points {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

The range is {-4, -3, 1}.