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MPM1D7: Unit Five & Eiqht Test: Analvtic GeometrvName: (h ui:fiil,.a* Date;Answer all questions as completely as possible, showin your work.

roY -K+ 1-.ll6 { V 1. Determine the range in proper notation for the relation ! = x2 + 2 when the domain^T-1, I is {-2, -t , 0,-1 ,2}. Show your work. (4 marks)/l-z:-t-i-Tt ,\ lJ i. ,.?-.\

: {,aupi'' 3'2't'z'3'b i(i \.-',- \ C " @hrovide 4 ordered oarrs that satisfy the equatio nZx+y = -g, within the domain\ v'i-:-61 'v i_-{= -fo \"ffiequationinstandardformforthe|inethatpqssesthrough(.7,-3)andhasthe5 r /. .2 - -0'1 / -),,. slope -i.fs marks) Y+ 5 ? -d L\+ tt/ e (il \3=f,-h.,3si) Y(j '-'- 4x *q'/.-' q L"*r3i = - \.y, ^ 35 ...--.----4;HL:L= --Qx -sd ,,/

I;x--r-e-d-=!-2_F o5. A line passes through the point (1 1, - 9 ). State the coordinates of onA other point on thef- -r line so that the slope of the line is: (2 marks) f-* ' \! a.undefined b. o \1 +q--OU-tt/ i \)*o.-= -,o (O,'Q)tlZJ\6. Find the stope and the x-intercept of the line 3x -1gy = 5. (2 mar*s) - F# Zx *() * 5 3V-\ga- b= O ' -- '-E-) 3y,-6 FA= -A *--fr-l X .------i-,e-,^I u- 6 - lt\=t-",J- ^- Z ,, pagel - -.. JUNEO9B t b:){t'lr: + ,/3-/

ication: \'1/16 Communication: \y'10 Think Total: :)l-l50

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f: a) AiineperpendicularloZx ^3y+1=0 andhasthesamey-interceptastheline 3y=x-3-.-;' .Li ""- --;;--% ( o,?-r '

-lV.t.=: --'2 Ff :-\.-4O, t4i? - s \ /\\ -z _ q-3= ZLx^ dw.,=\ \: , \ V?* Lx ___jr-J}/1 ' o Lr4 -Z'3:: = 3K -10:+^Yi:

3. Determine an equation in standard form for each of the following lines' (2,3,2 marks)

/^ -:) .9 - -* !-______I___- \ -t L^^ tL^ ., in{'arnan+ ac .4 y- ,/X =!{.1)*) b) A line passes through point (1 ,,,-3) *Ju. the same i- intercept as a1;211', -; !Yi"'r = -E\- _r (\l'*22-) L /ru' ,^r_^ (-

. 1. lf you are given 2 equations of a line, explain how you would determine whether the lines areI ', parailei perpindicutar or intersecti.ng Giyg an example. (4 marks)'\-/ (;* g ,?-9.r-tr,.,,- . o,- Ii-'- -'1-i I / ""sJ-'&- 7''e'v-G.i-i'1| ;L(to- 3: c''

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3. Describe a practical situation that could be represented by the following graph. Be sure touse approprjate measures to support your description. [3 marks]

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c i[-t]-iffi \x-- Y-'j-l-'o r Y\ Xr-Y'i ,-.; ' 1-.{ - 3}"\t& -P-.r .Determine algebraically the centroid of this triangle. (2 marks) 61-q*-i 4 = C i2 n*rd J'-' (2 5,3) \

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., frtt--- !.'s d-r-r"' UP r-'';rI"'i

- ,-zrv-2)equations of 2 medians in triangle AqC. (4 marks)= .t,'.:" t),gl :1.i : , 6,,2,i',,t3,;/5.ru;rh'q|fi""a, ?t. .tt:'.';'' 1,',9' vt-.t -' slu\- l'

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