Semester 1 Exam Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other. Examples include: x < 5, x ≥ -2.

Front

How do you represent the solution set of an inequality on a number line?

Back

The solution set of an inequality is represented by shading the region of the number line that satisfies the inequality. For example, for x < 5, shade to the left of 5.

Front

What does the notation -2 ≤ x ≤ 5 mean?

Back

This notation means that x is greater than or equal to -2 and less than or equal to 5. It includes both endpoints.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce based on its domain.

Front

How do you find the range of a graph?

Back

To find the range of a graph, identify the lowest and highest points on the graph and express them in interval notation.

Front

What is the difference between a relation and a function?

Back

A relation is a set of ordered pairs, while a function is a specific type of relation where each input (x-value) has exactly one output (y-value).

Front

What does the notation (-∞, ∞) represent?

Back

The notation (-∞, ∞) represents all real numbers, indicating that there are no restrictions on the values.

Front

What does the notation [-3, 1) mean?

Back

The notation [-3, 1) means that the range includes -3 and all values up to but not including 1.

Front

What is the significance of the endpoints in interval notation?

Back

Endpoints in interval notation indicate whether the values are included (closed interval, [ ]) or excluded (open interval, ( )).

Front

How do you write an inequality for a graph that shows values less than -2 or greater than 5?

Back

The inequality can be written as x ≤ -2 OR x > 5.