Final answer:
In mathematics, domain and range describe the input and output values of a function. Relative maximum and minimum points occur within specific intervals, and increasing and decreasing intervals describe where the function is getting larger or smaller.
Step-by-step explanation:
In mathematics, the terms domain and range are used to describe the input and output values of a function, respectively. The domain is the set of all possible input values for which the function is defined. The range is the set of all possible output values that the function can produce.
A relative maximum occurs at a point where the function reaches its highest value within a specific interval, but may not be the overall highest point on the graph. Similarly, a relative minimum occurs at a point where the function reaches its lowest value within a specific interval, but may not be the overall lowest point on the graph.
The increasing intervals of a function are intervals on which the function is monotonically increasing, meaning the function is getting larger as the input values increase. On the other hand, the decreasing intervals are intervals on which the function is monotonically decreasing, meaning the function is getting smaller as the input values increase.