Interval Notation for Domain and Range Explained

What is interval notation used for?

• To express equations

• To express constants

• To express functions

• To express inequalities

Which symbol is used in interval notation to represent 'greater than or equal to'?

• Angle brackets

• Curly braces

• Brackets

• Parentheses

How would you express the domain of a line that extends infinitely in both directions using interval notation?

• [0, 0]

• (-∞, 0]

• [0, ∞)

• (-∞, ∞)

In the example of a line segment with endpoints, what does a filled-in dot represent?

• The value is included

• The value is excluded

• The value is unknown

• The value is zero

How would you write the domain of a line segment from -5 to 5, where -5 is included and 5 is not, in interval notation?

• [-5, 5)

• [-5, 5]

• (-5, 5]

• (-5, 5)

What is the range of a line segment with y-coordinates from -4 to 7, where -4 is excluded and 7 is included, in interval notation?

• [4, 7]

• (-4, 7)

• [-4, 7]

• (-4, 7]

In the example of two lines with a gap, what does the union symbol (U) represent?

• Symmetric difference of intervals

• Combination of intervals

• Difference of intervals

• Intersection of intervals

How would you express the domain of two lines, one from -∞ to -5 (excluded) and another from 2 (included) to ∞, in interval notation?

• (-∞, -5) U [2, ∞)

• (-∞, -5] U (2, ∞)

• (-∞, -5) U (2, ∞)

• (-∞, -5] U [2, ∞)

What is the range of two lines, one from -∞ to -2 (included) and another from 3 (excluded) to ∞, in interval notation?

• (-∞, -2) U (3, ∞)

• (-∞, -2] U (3, ∞)

• (-∞, -2) U [3, ∞)

• (-∞, -2] U [3, ∞)

What is a key tip to avoid confusion between interval notation and ordered pairs?

• Practice regularly

• Avoid using parentheses

• Write them in different colors

• Use different symbols