Transcription of Extrema, Increase and Decrease
1 N s2J0G1p6k jKAuJtpab WSRo[fCtnw]aYrNev LL^ F EAklUlA rrdiEgIhbtIsQ W CMFasdAea Vw^i[tMhS PIRncfjiFnfiNthev by Kuta Software LLCKuta Software - Infinite PrecalculusExtrema, Increase and DecreaseName_____Date_____ Period____-1-Approximate the relative extrema of each ) xy 2) xy Use a graphing calculator to approximate the relative extrema of each ) y x x 4) y x x Approximate the intervals where each function is increasing and ) xy 6) xy Use a graphing calculator to approximate the intervals where each function is increasing ) y x x 8) y x f `2I0k1b6O bKduOtfaZ qSRodf_tSwvaCrWeg _ jAelvl] Ar\iwgHhWtas^ L eM\azdtet UwLi`t[hX QIGnVfoiUnBiItWeX by Kuta Software LLC-2-Approximate the relative and absolute extrema of each function. Then approximate the intervalswhere each function is increasing and ) y x xy 10) y x x xy 11) y x x xy 12) y xx xy Critical thinking questions:13) Write a function that has the followingrelative maximums: ( , ), ( , ), ( , ).]
2 14) Is it possible for a continuous function tohave only the following extrema? Relative max: ( , ), ( , ) Relative min: ( , )Explain why or why not. b Y2j0y1Z6o aKXu`tpaK NSooXfhtJwjakrMed jLnL^ ] XAalblY yrJi^g[h[tcsl Zrrebs\ E dMeaCdFeu BwDimtohn mI]nifjiInUiKt^el vPtriejcna[lZcNuOl]uSs^.Worksheet by Kuta Software LLCKuta Software - Infinite PrecalculusExtrema, Increase and DecreaseName_____Date_____ Period____-1-Approximate the relative extrema of each ) xy Relative minimum: ( , )Relative maximum: ( , )2) xy Relative minimum: ( , )Relative maximum: ( , )Use a graphing calculator to approximate the relative extrema of each ) y x x Relative minimum: ( , )Relative maximum: ( , )4) y x x Relative minimum: ( , )Relative maximum: ( , )Approximate the intervals where each function is increasing and ) xy Increasing: ( , ) Decreasing: ( , ), ( , )6) xy Increasing: ( , ), ( , ) Decreasing: ( , ), ( , )Use a graphing calculator to approximate the intervals where each function is increasing ) y x x Increasing: ( , ), ( , ) Decreasing: ( , ), ( , )8) y x Increasing: ( , ), ( , ) Decreasing.
3 ( , ), ( , ) I D2T0c1t6t PKku^t[a` VSTo^fwtEwDaurpeC j LA^lqlW xrriegVhstDsh jr\ejsNeFr] u KMIaJdOem XwFiKtuhf FIgnsfWi_ndiHtHeo by Kuta Software LLC-2-Approximate the relative and absolute extrema of each function. Then approximate the intervalswhere each function is increasing and ) y x xy Relative minimum: ( , )No absolute or relative : ( , ), ( , ) Decreasing: ( , ), ( , )10) y x x xy Relative minimum: ( , )Relative maximum: ( , )Increasing: ( , ), ( , ) Decreasing: ( , )11) y x x xy No absolute or relative maximum: ( , )Increasing: ( , ) Decreasing: ( , )12) y xx xy Absolute minimum: ( , )Absolute maximum: ( , )Increasing: ( , ), ( , ) Decreasing: ( , )Critical thinking questions:13) Write a function that has the followingrelative maximums: ( , ), ( , ), ( , ).y (x ) (x ) (x ) x14) Is it possible for a continuous function tohave only the following extrema?
4 Relative max: ( , ), ( , ) Relative min: ( , )Explain why or why , the function can't be decreasing to the rightof x and decreasing just left of x yet jumpfrom y to y with no periods of increasewithout being your own worksheets like this one with Infinite Precalculus. Free trial available at
