Graphical Features

Front

What does it mean for a function f(x) to be greater than 0?

Back

f(x) > 0 means that the y-values of the function are positive, indicating that the graph of the function is above the x-axis.

Front

How do you determine the interval where f(x) > 0 from a graph?

Back

Look for the sections of the graph where the curve is above the x-axis. The x-values corresponding to these sections represent the interval where f(x) > 0.

Front

What is the definition of the domain of a function?

Back

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

Front

What is the definition of the range of a function?

Back

The range of a function is the set of all possible y-values (outputs) that the function can produce.

Front

How do you find the domain of a graph?

Back

Identify the x-values that the graph covers from left to right. This includes all x-values where the graph exists.

Front

How do you find the range of a graph?

Back

Identify the y-values that the graph covers from bottom to top. This includes all y-values that the graph reaches.

Front

What does the notation -7 ≤ x < 5 mean?

Back

This notation indicates that x can take any value from -7 to 5, including -7 but not including 5.

Front

What does the notation -3 < y ≤ 1 mean?

Back

This notation indicates that y can take any value greater than -3 and up to and including 1.

Front

What is an interval in mathematics?

Back

An interval is a range of numbers between two endpoints, which can be open (not including endpoints) or closed (including endpoints).

Front

What is the difference between open and closed intervals?

Back

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