Regarding intervals of increasing or decreasing on a graph, it is a popular convention to use only "open" interval notation. However, it is considered correct to use either "open" or "closed" notation when describing intervals of increasing or decreasing. References to ± infinity, however, are always "open" notation.
Image Transcriptionclose (a) Find the open intervals on which the function shown in the graph is increasing and decreasing (b) Identify the function's local and absolute extreme values, if any, saying where they occur. 6 -4 O B. Absolute maximum at (8,6), other local maxima at (-2,4) and (4,2) O C.
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The reason we divide by the intervals or inequalities is because the calculator will return a 1 if the inequality (such as \(x<1\)) is true; for example, \((x+4)\) will just end up \((x+4)/(1)\) when \(x<1\). When \(x\ge 1\), we are dividing by 0, so nothing will be drawn. Here is what we can put in the calculator:
Parabolas Equations from Directrix and Focus. A2. hey; hey; hey; hey; hey
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(c) Determine the intervals on which the function is increasing/decreasing. Also, identify any relative maxima and minima. Increasing: Decreasing: Relative minima: Relative maxima: (d) Determine the intervals on which the function is concave up/down. Also, list any inflection points. Concave up: Concave down: Inflection point(s):