Name h S2i0S1N8E NKIuttfac CS_oKfWtdwvagrSej JL[LUCX.E J daalhly jrtitgyhotps^ mrhemspetrlvueldu.

Transcription

1 Math II Name h Si0SNE NKIuttfac CS_oKfWtdwvagrSej JL[LUCX.E J daalhly jrtitghotps^ mrhemspetrlvueldu. Year-in-Review Date Period (Analzing Linear Functions) Complete the table, and write an equation to match the situation. ) A new-born killer whale grows 0 pounds each month. month () pounds () ) Rigoberto eats onl salads and loses 0 pounds each month. month () pounds () 0 0 eplicit equation: = 0 00 eplicit equation: = (Analzing Eponential Functions) a) Write an eplicit equation to match the graph. b) Where is the function at = ) 0 ) (Analzing Quadratic Functions) Complete the table, and write a recursive equation to match. ) ) - 0 f (0) = - recursive equation: 0 f () = - 0 f (0) = - recursive equation: 0 f () = (Polnomial Operations) Perform the indicated operation to simplif the epression. 7) (r - )(r + ) ) (a - )(a + 7) V sl0hu\ JK[uPtEaw _SpoUf]ttw\a]rger SLlL_CK.L Z CA]ljlI WrFi]gVhctUsc SrDeXsbeQrVv\emdu. U UMHaSdfeX LwCiHtJho TIknsfgifn]ibtaeh natlugme`bprpaz Zr. -- Worksheet b Kuta Software LLC

2 (Function Transformations) 9) a) With a faint line, graph = + b) With a dotted line, graph = + c) With a dashed line, graph = - + d) With a dark line, graph = ) a) With a faint line, graph = - b) With a dotted line, graph = - c) With a dashed line, graph = - - d) With a dark line, graph = (Graphing Quadratic Functions) ) With a faint line, graph =. With a dotted line, graph = +. With a dashed line, graph = ( + ). With a dark line, graph = ( + ) -. ) With a faint line, graph =. With a dotted line, graph = -. With a dashed line, graph = ( - ). With a dark line, graph = ( - ) (Domain and Range) State the domain and range of the function. ) Domain: Range: ) Domain: Range: W Xz0bln zknujtzai ]SoTfNtdwvalrYeg ALLoCS.F _ gaglwlw jr`igoh_tksj KrteWsme[rv\edE.a H vmiaed]eo ewuixtnhg [I[nIftibnRietZea BAtlHgheAbirFau Fa. -- Worksheet b Kuta Software LLC

3 (Solving Quadratics b Factoring) Solve for b factoring. ) standard form: = 0 ) standard form: + - = 0 factored form: factored form: solutions: = = solutions: = = (Rearranging Quadratic Epressions) Bo: The given equation is in standard form. Circle: Rewrite this equation in intercept form. Cloud: Then rewrite this equation in verte form. form. Cloud: The given equation is in Bo: Rewrite this equation in s Circle: Then rewrite this equation in intercept 7) = + + ) = ( + ) - 9 (Solving Quadratic Equations b Completing the Square) Solve the equation b completing the square. 9) = 0 0) + - = 0 w ]0tW zkluntlad qsiofzt\wqafrhei NLrLhCp.W O LADlGlv trbingkhctms] KrJecsveOrbv`eBdR.v ` WMOaWdfeM awvihtuh_ \IdnZf\ijneiHtHeQ datluguejbxrqai UP. -- Worksheet b Kuta Software LLC

4 (Interpreting Functions in Contet) ) A pumpkin is launched from atop a building. The function h(t) = -t + t + 0 models the height of the pumpkin, h, (measured in feet) after t seconds. a) Sketch a picture of the situation. ) FedE uses their package cannon to launch our birthda gift from their warehouse perched on a 90-foot hill. The function h(t) = -t + t + 90 models the height of the package, h, (measured in feet) after t seconds. a) Sketch a picture of the situation. b) When will the pumpkin reach its peak b) When will the package arrive at our house (Writing Quadratic Functions) Write a quadratic function in verte form whose graph has the given verte and passes through the given point. ) verte: (, -) = passes through (7, 0) ) verte: (, ) = passes through (, ) (Comple Numbers) Rewrite the epression in standard form (real + imaginar). Show all steps. ) + i + i + i + i ) (7 + i)( + i) N ZT0VbY [K\uYtLac JS]oKfVtKw^aurCez \LULICq.H T oaklplr Vr^izgvhdtRsE YrLeYsgecrWvaeFdi.i ` bmiabdqeg wdistohq RIQnufhiFn`iRtUev lagl[gqe_bgr[ae zt. -- Worksheet b Kuta Software LLC

5 (Solving Quadratics with the Quadratic Formula) Solve the equation using the quadratic formula. Show all steps. 7) = 0 ) = 0 (Rational Eponents) a) Convert the epression from eponent form to radical form. b) Simplif. 9) 7 0) (Number Sstems) Circle all possible words that describe each number. ) A). natural whole integer rational irrational real imaginar comple ) A) p natural whole integer rational irrational real imaginar comple B) 0 natural whole integer rational irrational real imaginar comple (Piecewise Functions) Graph the piecewise function., - ) f () = {, > K M0j^[ YKbugtuaW `SpoGfZt_waSrZec zlelzce.c b ZAFlBlm \rringphat]s` Er\eHsuebrlvXeqd`.G l RMCaNdded lwaiztkhr wizndfwinnbi\tget DAKlWgOeTbErHaR Br. -- B) -9 natural whole integer rational irrational real imaginar comple ) f () = { +, -, > Worksheet b Kuta Software LLC

6 G [i0\c jkvuttaap hswo[fatzwkawrmes hlilmcn.\ H JAulqln ErEimgRhEtZsV wrseaspeirhvjeldg. (Dilations) ) Dilate the triangle with a scale factor of. ) Dilate the triangle with a scale factor of (Similarit) Solve for the missing side. These polgons are similar. 7) 9 ) 0 (Angle Pairs) a) Circle the tpe of angle pair that is marked in the diagram: alternate eterior alternate interior corresponding vertical same-side eterior same-side interior linear pair b) Solve for. 9) 0) \ vb0twx mkputlag XSIoOfEtqwMarrfeC pllzch.h r QA^lWlu srsikgzhnt]sd OrYeBsjenrnvOemdA.W S bmbaadre` nwnittehe GIIn\fPiInhiitheE _GBeDonmIePtQrzK. -- Worksheet b Kuta Software LLC

7 (Perpendicular Bisectors) Sketch a perpendicular bisector of the given segment. ) ) (Triangle Parts) Sketch three things: ) an altitude that touches A (with a solid line) ) a median that does not touch A (with a solid line) ) a midsegment (with a dotted line). ) A ) A (Parallelograms) Find the measurement indicated in the parallelogram. ) S V ) R S 0 T U Q P (Coordinate Geometr) Plot the point C and name its coordinates. What is What is 7) C is between A (-, -) and B (, ). Find the coordinates of C such that AC CB =. ) C is between A (-, ) and B (, -). Find the coordinates of C such that AC CB = X sj0e]i fkpuatvab tsxobfztywpaor[e[ ILcLmCR.b u ^All\lv TrDiZg`hRtZsp Groebs\eerLvCeqdj.v DMEaRdez swuirtehf ^IUnXfHiCn_i`tleq WGaewoJmLevt[r\S. -- Worksheet b Kuta Software LLC

8 (Right Triangle Trigonometr) Find the missing side. Round to the nearest tenth. 9) 0) 0 9 (Inverse Trigonometr) Find the measure of the indicated angle. Round to the nearest tenth of a degree. ) 9 ) 0 (Inscribed Angles) Find the measure of the arc or angle indicated. ) W ) Q X Y R P (Chords) Find the measure of the arc or angle indicated. ) C P 0 B E 0 D U [u0ui^ bkcust^ad Spojfft[wcadrpeL elalmcs.f D aablhls srgi[grhktvsd hraezsnenrlveyd^.w D QMCavd`ea swqigtbhs bi]nsfbifnlict]ea GGleAoXmVe`tHrhb. -- ) C F 7 D 70 J E Worksheet b Kuta Software LLC