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What Is Interval Notation In Webassign Assignment

assignment #14 (Homework)Sumit PatelMath 221, section CL1/DL1, Fall 2014Instructor: Javid Validashti DizgamCurrent Score :94 / 94Due : Friday, October 17 2014 11:59 PM CDT1.5/5 points | Previous AnswersSCalcET7 4.3.003.Suppose you are given a formula for a function f.(a) How do you determine where fis increasing or decreasing?If on an interval, then fis increasing on that interval.If on an interval, then fis decreasing on that interval.(b) How do you determine where the graph of fis concave upward or concave downward?If for all xin I, then the graph of fis concave upward on I.If for all xin I, then the graph of fis concave downward on I.(c) How do you locate inflection points?Solution or Explanation(a) Use the Increasing/Decreasing (I/D) Test.(b) Use the Concavity Test.(c) At any value of xwhere the concavity changes, we have an inflection point at (x, f(x)).WebAssignf '(x) >>0f '(x) <<0f ''(x) >>0f ''(x) <<0At any value of xwhere the function changes from increasing to decreasing, we have an inflection point at (x,f(x)).At any value of xwhere the concavity changes, we have an inflection point at (x, f(x)). At any value of xwhere the concavity does not change, we have an inflection point at (x, f(x)).At any value of xwhere f '(x) = 0, we have an inflection point at (x, f(x)).At any value of xwhere the function changes from decreasing to increasing, we have an inflection point at (x,f(x)).assignment #14http://www.webassign.net/web/Student/Assignment-Responses/...1 of 2210/15/14, 8:23 PM

Using Interval Notation

  • If an endpoint is included, then use or . If not, then use or . For example, the interval from -3 to 7 that includes 7 but not -3 is expressed .

  • For infinite intervals, use for ∞ (infinity) and/or for -∞ (-Infinity). For example, the infinite interval containing all points greater than or equal to 6 is expressed .

  • If the set includes more than one interval, they are joined using the union symbol U. For example, the set consisting of all points in (-3,7] together with all points in [-8,-5) is expressed .

  • If the answer is the empty set, you can specify that by using braces with nothing inside:

  • You can use as a shorthand for all real numbers. So, it is equivalent to entering .

  • You can use set difference notation. So, for all real numbers except 3, you can use or (they are the same). Similarly, is the same as .

  • WeBWorK will not interpret as equivalent to , unless a problem tells you otherwise. All sets should be expressed in their simplest interval notation form, with no overlapping intervals.

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