Properties of Functions & Interval Notation

Front

Write the following in interval notation: x ≥ 100

Back

[100, ∞)

Front

What kind of brackets do I use for ≤ or ≥ in interval notation?

Back

[ ]

Front

What is the equation for the axis of symmetry of a parabola with vertex at (3, 0)?

Back

x = 3

Front

Look at the Graph. Write the inequality in interval notation: Graph shows values from -4 to -1, including -4 but not -1.

Back

[-4, -1)

Front

Write the following in interval notation: -7 ≤ x < 8

Back

[-7, 8)

Front

What does the interval notation (a, b) represent?

Back

All real numbers x such that a < x < b (not including a and b).

Front

What does the interval notation [a, b] represent?

Back

All real numbers x such that a ≤ x ≤ b (including a and b).

Front

What does the interval notation (a, b] represent?

Back

All real numbers x such that a < x ≤ b (not including a, including b).

Front

What does the interval notation [a, b) represent?

Back

All real numbers x such that a ≤ x < b (including a, not including b).

Front

How do you express the union of two intervals in interval notation?

Back

Use the symbol ∪ to combine intervals, e.g., [1, 3] ∪ (4, 6).