Summary of Distribution Functions . Finding the Domain & Range from the Graph of a Continuous Function. For example, f(x) = |x| is continuous everywhere. A graph of \(f\) is given in Figure 12.10. In our current study of multivariable functions, we have studied limits and continuity. So, the function is discontinuous. The mathematical definition of the continuity of a function is as follows. The calculator will try to find the domain, range, x-intercepts, y-intercepts, derivative Get Homework Help Now Function Continuity Calculator. For example, this function factors as shown: After canceling, it leaves you with x 7. This may be necessary in situations where the binomial probabilities are difficult to compute. Find the value k that makes the function continuous - YouTube Because the x + 1 cancels, you have a removable discontinuity at x = 1 (you'd see a hole in the graph there, not an asymptote). Solution to Example 1. f (-2) is undefined (division by 0 not allowed) therefore function f is discontinuous at x = - 2. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8985"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"","rightAd":""},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":"Five years","lifeExpectancySetFrom":"2021-07-09T00:00:00+00:00","dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":167760},"articleLoadedStatus":"success"},"listState":{"list":{},"objectTitle":"","status":"initial","pageType":null,"objectId":null,"page":1,"sortField":"time","sortOrder":1,"categoriesIds":[],"articleTypes":[],"filterData":{},"filterDataLoadedStatus":"initial","pageSize":10},"adsState":{"pageScripts":{"headers":{"timestamp":"2023-02-01T15:50:01+00:00"},"adsId":0,"data":{"scripts":[{"pages":["all"],"location":"header","script":"\r\n","enabled":false},{"pages":["all"],"location":"header","script":"\r\n