Flashback #44 (Mixed Review)

Front

What is the domain of a function?

Back

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

Front

How do you determine the domain from a graph?

Back

To determine the domain from a graph, identify the range of x-values that the graph covers.

Front

What does the notation -3 ≤ x ≤ 4 represent?

Back

This notation indicates that x can take any value from -3 to 4, inclusive.

Front

What is a real number?

Back

A real number is any value that can be found on the number line, including both rational and irrational numbers.

Front

What is an interval in mathematics?

Back

An interval is a range of numbers between two endpoints, which can be open or closed.

Front

What is the difference between open and closed intervals?

Back

A closed interval includes its endpoints (e.g., [a, b]), while an open interval does not (e.g., (a, b)).

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.

Front

How do you find the range from a graph?

Back

To find the range from a graph, identify the lowest and highest y-values that the graph reaches.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.