Question

Neview IUT Tilidl HILI IJU For each function, graph by starting with a parent function and showing shifted graphs. Find all x, y intercepts, asymptotes and domain and range. y = 2** 1-3, y = 3- (x - 1)', y = 2VX + 4-3

Answer 1

=) n=1483 U too (a) Y=27743 63 y:3-4(X-133 putting y=0 we get X-intercept , elamain = IR - and by putting x=0 we get y-intercept Ranges R put x=0 => y = 20143=13 (x-interceph X=07 y = 3-4(019-374 - Z 4:0 -2 0 = 22+43 => 22+4=3. (y-intercept) => x=-++ loge3 loge? y=07 0= 3-4cx183 -13-6 ex-Thtercept) Vertical Asymplote: (x-intercept) The line x-k is vertical asymptole Vertical asymptote : of funcion y = 2att, if the limitat Tim 3-f(x-1)3 = 0 the funchim at this point is infinite No vertical symptole. binnen 2x+43-00 Horizontal asymptote: so there are no such points Meman 14 (x-11343)--- no vertical asymptote. lim ? (x+23+3)=00 Horizontal Asymptote: No Horizontalyymptote. Theline y=klis Horizontal asymptote Slant asymptore if either lim f(x)=Rlor lim f(x)=k! There are no slant asymptote. andklis finite lim 12274-3):-3 *--00 (C) Y=2774 -3 thus Horizontal asymptote is y=-3/ domain - XER:42-4} Slant Asym blote: Range = ( YER: 92-3} Line yo mxt bisa lantasymbłote if either m=lim ļ fexr = Lor 2=0 => 92-2.J070-3 = 2.(+2)-3 malim ļ few= 2 s! (taking +) 42-00 .(x-intercept) Lis finite, non ze70 YZU J) 0=25977-3 = 4(x+4)= 9 =*=-4-1 lim (412x4-3))-00 i (x-intériebt) lim (24143): 0 Vertical asymptote! No verticalasymptole Horizontal asymptote! domain = R(All neamumbers) en 28%+4-35 00, 2JX44-3560 Range = {YER:Y>-3} No Horizontal asymptote Slant Asymbtole: No slant asymptote: x-)- Xtoo No sont asymptote. X--