domain and range of graphs

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 graph?

Back

To determine the domain of a graph, identify the x-values for which the graph exists and is defined.

Front

How do you determine the range of a graph?

Back

To determine the range of a graph, identify the y-values that the graph can take.

Front

What does it mean if the domain is R?

Back

If the domain is R, it means that the function is defined for all real numbers.

Front

What does it mean if the range is R?

Back

If the range is R, it means that the function can produce all real numbers as output.

Front

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

Back

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

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 the output of x^2 is always non-negative.

Front

How can you express the domain of a function using interval notation?

Back

The domain can be expressed in interval notation, such as (-∞, -3) for x < -3.

Front

How can you express the range of a function using interval notation?

Back

The range can be expressed in interval notation, such as [1, 4] for 1 ≤ y ≤ 4.