Domain and Range of Continuous Graphs

Front

What is the DOMAIN of a function?

Back

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

Front

What is the RANGE of a function?

Back

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

Front

How do you determine the DOMAIN of a continuous graph?

Back

Identify the x-values for which the graph exists without any breaks or restrictions.

Front

How do you determine the RANGE of a continuous graph?

Back

Identify the y-values that the graph reaches as x varies over its domain.

Front

What does it mean if a function has a DOMAIN of x ≤ 2?

Back

The function is defined for all x-values less than or equal to 2.

Front

What does it mean if a function has a RANGE of -3 ≤ y ≤ 5?

Back

The function outputs values (y) between -3 and 5, inclusive.

Front

If a graph has a RANGE of 1 ≤ y ≤ 4, what does this indicate?

Back

The output values of the function are between 1 and 4, including both endpoints.

Front

What is the significance of the notation y = 2 in terms of RANGE?

Back

It indicates that the function outputs a constant value of 2 for all inputs.

Front

What is an example of a function with a DOMAIN of all real numbers?

Back

f(x) = x^2, since it is defined for every real number x.

Front

What is an example of a function with a RANGE of y ≥ 1?

Back

f(x) = x^2 + 1, since the minimum output value is 1.