TEKS 7I Domain and Range in all 3 Notations

Front

What is the definition of Domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (x) for which the function is defined.

Front

What is the definition of Range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (y) that result from using the function.

Front

How do you express the domain of a function in interval notation?

Back

The domain is expressed in interval notation by using parentheses for open intervals and brackets for closed intervals.

Front

How do you express the range of a function in interval notation?

Back

The range is expressed in interval notation by using parentheses for open intervals and brackets for closed intervals.

Front

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

Back

The domain is all real numbers except x = 2, expressed in interval notation as (-∞, 2) ∪ (2, ∞).

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, expressed in interval notation as [0, ∞).

Front

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

Back

The domain is found by identifying the x-values for which the graph exists, reading from left to right.

Front

How do you find the range of a function from its graph?

Back

The range is found by identifying the y-values that the graph reaches, reading from bottom to top.

Front

What does the notation (-3, 3] represent?

Back

This notation represents an interval where x is greater than -3 and less than or equal to 3.

Front

What does the notation [-4, 5) represent?

Back

This notation represents an interval where x is greater than or equal to -4 and less than 5.