3. What are the different methods for examining whether a continuous function in a closed interval is increasing, decreasing or constant? Discuss the slope method with graph for examining either the function is increasing, decreasing or constant. Let us consider the function f(m) = m* – 5m³ + 9m². Now compute: (a) the intervals on which f is increasing (b) the intervals on which f is decreasing (c) the open intervals on which f is concave up (d) the open intervals on whichƒ is concave down

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.