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# (a) Find the intervals of increase or decrease.(b) Find the local maximum and minimum values.(c) Find the intervals of concavity and the inflection points.(d) Use the information from parts $(a) - (c)$ to sketch the graph. Check your work with a graphing device if you have one.$S(x) = x - \sin x$, $0 \leqslant x \leqslant 4\pi$

## a) increasing: $(0,2 \pi),(2 \pi, 4 \pi)$b) no local min or maxc) $0 < x < \pi,$ concave up$\pi < x < 2 \pi,$ concave down$2 \p i < x < 3 \pi,$ concave up$3 \pi < x < 4 \pi,$ concave downd) SEE GRAPH

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but a finding the intervals off increase or decrease, eh? So as prompt is Nico to one minus Cole Stein, Max, which is always great, is on Cyril, so we're half as in to a frown zero To Opie, it's half as prom is greater than zero, so us is increasing hot B, so from the result in part, pain function as acts has no local maximum and the minimum while use hard to see finding the intervals off conch levity and it's the inflection points light as prom prom's. This is equal to Sai Axe like the second narrative, because zero we have X is equal to zero pie shield, high free pie or pie and the interval from zero to pie. Second derivative is positive, so to function yes, so off US. Ex con curves up and skin to Wolfram Hart, who pie us from prom is active so as it's a Concord Dawn and the two pi to three pie. Second narrative is Part IV, so its function its country far the reply for hi as trump wrong. It's negative functions. Country inflection points are high. Hi, three pies. How to be use the information from parts I need to see you scratch the graph so we can sketch the graph as follows. So you're old. Fine. Hi. Three pies. Hi. Like this. And by using the graph, Indy wise, we can graft the function as follows. This is a graph with the function X minus Science X.

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