Question

MTH 4110 : 4 Bous TEL # sketch the followmg y=foc) aud cleash indicste the follouomg: Cunve Domain 6 Tniereph ahny thke axes Whan xo aud y-o (11) Crikied pointa (turning ina when f() thet f'a (I1) 3 :E Ci From i) o6tain tlo pomb fe whik bomb aud indi cste are: f'e) ca) Maxim a b Mini ma a {'(c >0 ofexion Verhical aaym lsle -k 4aule) e y Horizot aymptots y= K auab) Gii)fend th Cume y=foc) ane aud y t Com) Shetch Hha Curve y=fo (p>) Descrbe tha nlue your oketeh in few card 11 he cunva, are 4. 14-20-4x+3 2 2 2. y= O-9 Ot30c 2

Answer 1

2 4-x 3 1)2 2 x4 Oamain . -o00) x-interap ヒ ー) 2x4 -23-0 2 2_ 42)3) = 16-2yニ-8く0 noroution E3 マーincercept =) ルこ0 inceruDt -) INone Jフ O,3 8x3-8x こ0 div) YO, = 3 ; "()= 24x2 -8 Xニ) Lニー); =| 8 (g2-) f"(0)=-8 <O プ(土)=12● >o (o,3) f") 11 11 maxima minima minima C-1,1)

v) No arymptou CO aymp totc No vii) 7 4 2 3 ix) Gnaph i nymmitric obaut ax . Graph hes local maxima at x = 3, y-3. at and minimum from -co, co) cle crearut GrOph to pcint ( ) and attcins minima. painr o,3) ond clioruaring (,) and attw'n minima, TRen in cruows to attins maxima and start to point incuarur 29 2) O =) uO3 23 (-o,-3) U(3,0) u (0,c0) Domain Nome f'()= (2+3e) (2x) - (2u+3) (2 )(12-9) 2+3x)2 i) 3 -- None

iv) NoYe v) O,-3 jv) Nor x2-9 232 v) -3 u'm 2-9 x23 im-9/2 nacO 3/x vii) O pen

y 6 5 4 2 1 0.5 1.0 1.5 -1.5 1.0-0.5