8 Questions in Examination I | Calculus | MATH 1A, Exams of Calculus

Download 8 Questions in Examination I | Calculus | MATH 1A and more Exams Calculus in PDF only on Docsity! 1. [10 pts] What is the geometric relationship between the graphs of f(x) = /x — 3+ 1 and gz) = ve-1? Tue grogh of go) is o-tasued low shifteug re qo 4 fix) 3 units Belt amd 2 units down. 2. [12 pts] Find the inverse function of f(a) = n(2++/z). What are the domain and range of f(z) and of its inverse function? To find $1) sat xt &n(24q) auc solve for 5 4 ty = e* 5 iy 2 ered 42 (eX-2)*, ne $G) 2e*2) Jue doin f f is fo, 0) tund tks rage (since fis moreasing } is [Mn 2, &). cmd Len Felon So Ge) bas domain [Ln2, 0) and rengy (0, 09. L (Tuas is hue en ter formula (e%-2)" appears . abined for alt %, becamse XZ) ts wet V4 tol 1 eR ddupin ts tel 3. [10 pts] Is 5!°82° equal to 3!825? Justify your answer. fo ks. Boh om qual fo afer?” Se) 4, [10 pts] Sketch a graph of a function f(z) such that lim, 1- f(x) and lim, 1+ f(z) both exist, and f is continuous from the from the right at = 1, but not continuous at ¢ = 1. ~ — 5. [12 pts] Find z—2 mo a —4/x x a 2. : Xo 2 yp X20 2 Bw oe tek et han x Bien roe Yon Xt2 Zt2 °° D- x2 6. [12 pts] Find all vertical and horizontal asymptotes to the graph 7 2x? o> y-3a? . 2x gs 2. .2 Bin 22 Deee x ~3%” dim %-3 7° 2 tind Five 7 4 A 2 2k at 2x Factoring he Lamorwesnsher 4 ¥C-30 1-ax * Se X= a is Me oul, ver bi cok asymnptole . AL yd, 4 ts Umbefiuadk, so due gmph tas o wishins pie Yuet, oat wot 4 OR cad asyweptole, Aa im 2 — enists C4 =o).