Domain & 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

If a function has a DOMAIN of {0, 1, 2, 3}, what does this mean?

Back

It means that the function is defined only for the input values 0, 1, 2, and 3.

Front

If a function has a RANGE of {4, 5, 6}, what does this indicate?

Back

It indicates that the outputs of the function can only be 4, 5, or 6.

Front

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

Back

The DOMAIN is all real numbers except x = 0, since division by zero is undefined.

Front

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

Back

The RANGE is all real numbers y such that y >= 0, since squares of real numbers are non-negative.

Front

How do you find the RANGE of a function from a graph?

Back

To find the RANGE from a graph, identify the lowest and highest y-values that the graph reaches.

Front

What is the DOMAIN of the function f(x) = sqrt(x)?

Back

The DOMAIN is all real numbers x such that x >= 0, since you cannot take the square root of a negative number.

Front

What does it mean if a function has a RANGE of y < 3?

Back

It means that the outputs of the function are all values less than 3.

Front

If a function has a DOMAIN of all real numbers, what does this imply?

Back

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