wladis, bmcc/cuny project 3: curve sketching for this ... · project 3: curve sketching for this...
Post on 19-Aug-2020
10 Views
Preview:
TRANSCRIPT
Wladis, BMCC/CUNY Project 3: Curve Sketching
For this project, the example, which you should use as a model for your own answers, have been handwritten – see attached page!
For each of the following problems, graph 𝑓(𝑥), including: the correct domain and range; any intercepts; maximums or minimums; holes or cusps; horizontal, vertical or slant asymptotes; and correct curvature. Rotate through the rolls of Prover, Explainer, and Checker, so that each student plays a different role for each problem. The Prover should draw the graph step-by-step including doing all calculations needed to construct the graph, the Explainer should explain each step, and the Checker should check each step (using a different method than the Prover and Explainer if possible).
1. 𝑓(𝑥) = 𝑥3
𝑥2−9
2. 𝑓(𝑥) = 2𝑥 − 3𝑥23
3. 𝑓(𝑥) = 𝑥2−1𝑥2+25
Due date:MAT 301, Mathematics Dept, BMCC/CUNY
l-l o-u"r, ,l l* Explainer:I
/a-'t t\a
,l l*
6qh {k)7x -t'l * O
:llor c.1q^q*.*+,fr Ah x= :+ \5 I
4c* vear orfl*E d j I
@e.,rt"""+tl:-
iffiA= {il.ru,s,lffi:: l
Ev*-{e Z',
L!)k'vlqaY ,
a
XJ
l
l
r(- o: -Lt {k) "^1.\w n a*u -1,
{'H V* ^ \*i/d*"( i} M 4nY\rfo-+n. Svu-s *LiS
9rr*u,QarC.g :l*ot"y{ssq,lAt i" 'in'tutw4 6ordf},., iy-
*^! w o n v*'n t',u,g o,\*(h {t ,-]
J
1 ----="-x = -ffi + xh-rtt'i': - |
| +';,t"'*'lvz+x--'I) 4vn+4u- +Y+ l= O) jr"(x+ lo1 &+ l')-- o+(,{ x-* (\(rt t) = C
(r;turJ forv'f1 Ng 'H^" -JA fosEi644 p-rt*-b
d' :{k qt"'gl^, u}:u'c {H wx+ clrs: *<dirpn{ftv"nA' fu: {\\.ar.*tr,"n t" ldieq+,"fr uv'
a'-t-"obvg ft"7. fr* ,3t.+0*!'J.,*p n u)r-gv! dtnu,t,
It*s ca,u l^Ulre* rt!'A ',; eJ {'* t }'' Yp|,le
6( *",u{;*,H I N hL* ;'{il is zwpr./ ,nn^lloft^rJ, 5o .6rrt vlp w-^tf #",1 {t{u,
f,'(d = I + 7'-2hxut\-5
*/ (fut n^ oroLn* '/'. 6";J !d, 4,',',{,,'u.0 gut'kPage 6 of L6
(tr),.
Mathematics , BMCC/CUNY
-- f:;;fttt,f :&T---t; ;; ;-oo{J.*'J.t$"iy/ , . vin+k'' " w.tf1^r-b:yofl*6fL h^flF{e,u
y:"',*1*.dsrh,4 _g"ib .!Lr' ,.nrttg J,.,t,^, :-e - ir^Offi
t"rlf"5
ht o *,6La,{ r7,g'r-}"|e,
tan tan-+or..>loJ a.t1l..g-to+t
B*,a".-t-, .t+r*. ., ^ !'{rlrt'o
Page 7 of 16
MAT 301, Mathematics Dept, BMCC/CUNY Due date:
t-l-v.
*J x=-Lz rofr#a*f a{rtsMa*t!l* st^r^.t- wlrn w gYw{^?sr&t** Ah*:,^ l** o
,ll* fhaalzat. I-f. t,ilI r1*r#\Jlz 7
I
u,,ql -f \ ,.
tza;i*to{
-r /l 03 r 'X
):,,, I, I_, )LJ/
X"-L^ y,,kvtr at1*1to{{.
t'l
U;t,I
c
;r; ; |\__--\-------Ji r:,rurSrr-fi &*ttl*01 t'll+t=r+-..+u
-r*4 ^^ff crna"-0"< 1; *1,.t AAril nl .u-. : Lz , N lryrbt la$ nJ
1,,*t oa trk$"^ '^l y x 0,3 ulp ftJFi,J q)"u^;l: ftffil r* pr;,,#fia,,ii)'|
# n^ei"Jv *+*itn " , TL,n Vra.ral^ *4
lt crt, (.qu! vao L.u*, 4nl Y, A-"f I
fu At,r.' .s,.ti.'* fr l(n' !"ft o/ fu ,
pi, , ril"'", I) f! ct trJr:gt {a !$, t'#/t fl rw[t-t!vt:.;1 n/- if A r**f W*orwdr '{d" &^; Y = ! ^, *}-- K,
iu. uA/'$b :h resl?WqU fr*s(o,
t ) rd (a,? ,0, ?)Y
+e,$
Page 8 of 16
top related