Finding Domain & Range

Front

What is the domain of a function?

Back

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

Identify the x-values that the graph covers; these values represent the domain.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) that a function can produce.

Front

How do you determine the range from a graph?

Back

Identify the y-values that the graph covers; these values represent the range.

Front

What does the notation -3 < x ≤ 3 mean?

Back

x is greater than -3 and less than or equal to 3.

Front

What does the notation y > -4 indicate?

Back

y is greater than -4, meaning it can take any value above -4.

Front

For the function f(x) = x² - 4x - 5, what is the range?

Back

The range is y ≥ -9.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

How can you find the vertex of a quadratic function in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find y.

Front

What is an interval notation?

Back

A way to represent the domain or range using parentheses and brackets, e.g., (-3, 3] means x is greater than -3 and less than or equal to 3.