Every bounded continuous function attains its maximum and minimum values.

Give an example of a graph of a function S, that satisfies all of the conditions below: • Increasing on intervals (−∞, −2) U (1, ∞)• Decreasing on interval (−2, 1)• Relative maximum value is 3• Relative minimum value is −1

Let h(g₁, 92) be a continuous function through a nonempty, closed and bounded set S. Are these conditions necessary, sufficient, necessary and sufficient or neither necessary nor sufficient conditions to ensure that there exists points (a, b) and (c, d) in S where h has a minimum and a maximum value, respectively? Necessary and sufficient Sufficient, but not necessary Neither necessary nor sufficient Necessary, but not sufficient None of the above No answer