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Question
a. use the given graph to identify and estimate the x - and y - values of the extrema.
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relative minima at x = 0, y=-11
no relative maxima at x = none, y = 0
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Step1: Identify relative extrema
Relative extrema occur where the function changes from increasing to decreasing (relative maxima) or from decreasing to increasing (relative minima). By observing the graph, we look for the 'peaks' and 'valleys'.
Step2: Locate relative minima
The graph has a valley - like shape at \(x = 0\). The \(y\) - value at \(x = 0\) is approximately \(y=- 1\).
Step3: Check for relative maxima
The graph does not have any 'peak' - like shapes within the visible domain, so there are no relative maxima.
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Relative minima at \(x = 0,y=-1\); No relative maxima at \(x=\text{none},y = \text{none}\)