Consider the function f(x) = x2/3 (x – 2) + 2. Part of the graph is as pictured.

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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
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All the questions go to the graph so easier to include in one question to ask for help.
Consider the function f(x) = x²/3 (x – 2) +2. Part of the graph is as pictured.
-2
For the problems below, you can use the picture to check your answers, but you must do the calculus to
justify your answer.
1. Find the interval(s) where the function is increasing and decreasing.
2. Say where any local max(es) and min(s) occur. Just give the x coordinate.
3. Say where the function is concave up, and concave down, and give the (x coordinate(s) of the) inflection
point (s).
Warning: it's difficult to read these properties off from this particular graph.
Transcribed Image Text:Consider the function f(x) = x²/3 (x – 2) +2. Part of the graph is as pictured. -2 For the problems below, you can use the picture to check your answers, but you must do the calculus to justify your answer. 1. Find the interval(s) where the function is increasing and decreasing. 2. Say where any local max(es) and min(s) occur. Just give the x coordinate. 3. Say where the function is concave up, and concave down, and give the (x coordinate(s) of the) inflection point (s). Warning: it's difficult to read these properties off from this particular graph.
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