Domain and Range and end behavior

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

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

The domain is represented as $$0 \leq x \leq 5$$ , where x is the number of days.

The range in set builder notation is expressed as {y | y > 4}.

The domain is represented as $$0 \leq months \leq 12$$ .

As x approaches infinity, f(x) approaches infinity. The end behavior is that the graph rises to the right.

As x approaches negative infinity, f(x) approaches negative infinity. The end behavior is that the graph falls to the left.

The range of a quadratic function can be determined by finding the vertex and identifying the minimum or maximum value.

The domain is all real numbers except x = 2, expressed as {x | x ≠ 2}.

The range is all non-negative real numbers, expressed as [0, ∞).