Use the graph of f to find the largest open interval on which f is increasing, and the largest open interval on which f is decreasing. (Enter your answers using interval notation.)10f102(a) Find the largest open interval(s) on which fis increasing. (Enter your answer as a comma-separated list of intervals).(b) Find the largest open interval on which fis decreasing.X

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Asked Jul 9, 2019
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Use the graph of f to find the largest open interval on which f is increasing, and the largest open interval on which f is decreasing. (Enter your answers using interval notation.)
10
f
10
2
(a) Find the largest open interval(s) on which fis increasing. (Enter your answer as a comma-separated list of intervals).
(b) Find the largest open interval on which fis decreasing.
X
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Use the graph of f to find the largest open interval on which f is increasing, and the largest open interval on which f is decreasing. (Enter your answers using interval notation.) 10 f 10 2 (a) Find the largest open interval(s) on which fis increasing. (Enter your answer as a comma-separated list of intervals). (b) Find the largest open interval on which fis decreasing. X

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Expert Answer

Step 1

Please see the picture on the white board. I have used the picture in the question and marked all the popints of inflections of the curve y = f(x). Please note points A, B, C, D & E.

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10 D C A 0

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Step 2

By observation, the function y = f(x) is:

  • Increasing from point A to B
  • Decreasing from B to C
  • Increasing from C to D
  • Decreasing from D to E
Step 3

Part (a)

Again by observation, interval A to B is larger than C to D.

Hence, the largest interval in which f is increasing is A to B. An...

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