Domain and Range and end behavior

Front

What is the range of a function?

Back

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

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

Express the range [-15, ∞) in set builder notation.

Back

{y | y ≥ -15}

Front

What does interval notation (4, ∞) represent?

Back

All real numbers greater than 4.

Front

What is the end behavior of a function?

Back

The behavior of the graph of the function as x approaches positive or negative infinity.

Front

How do you determine the domain of a function from its graph?

Back

Identify all x-values for which the graph has points.

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include endpoints, while closed intervals do.

Front

Express the domain (-∞, 4] in set builder notation.

Back

{x | x ≤ 4}

Front

What is the range of the function f(x) = x^2?

Back

[0, ∞) because the output is always non-negative.

Front

How can you find the range of a function from its equation?

Back

Analyze the function's output values based on its formula.