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d the domain and range of the function (a.) g(x) = ea (ee sled PSE 1. Find the " 2.Given f(x) = 3x +2.and g(x) = (2? — 4)3, ind (a) (Fgh) (0.)(g © NG) (c.f (2) 4) eg) i Kiot 2¢ Has ofa) 2 ae) Le eae PX): Sa, Sle TES OTE RE Mr ED G0) = (Fs — . 3. When is a function said to be one-to-one? ied that the function f(x) = ax + b with a,b € Randa * 0 is one-to-one. NOt 2 X— > a wages ¥ iS Sad d on IP Overs Ploma en ve X15 s GO UntGao - oleinetn fins a to = a Eee ces isla = Vib) z "J a = org ee nl T= = 2 ee ee enh aay gk 4. Find the domain and range of the funetion (a.) (x) = cos(log(x? + 1)) tb) Bais, a) = Tr ’ Moos oa) EE TT | Pfs) = Cee (legal) pie hare WY A Wa OF a = } as Siem Pot} =i: iow . i Ee = oe Here, z nate Ly SF] (FoP) Gh = ae a BMecee” iil Foa\= Jtiq = p= Yo 2 3. The function f is defined by f(x) = 1+ VE. (a) Evaluate (fF #1) (b.) Find ff" *(x) Fig =F TS Tele =_4) a (c) show that x = #225 the only solution to the equation f(=) = £"@). aa ae ios Seen: ~ Aes EO a STs 2 FO) Sie “Taunt te 4 A = (ei maw x’ Sub Jerk Porraula« ia Qe = I Py = =| or a | si ea Hele & Fea coneknacus tino fl ie tae f@= bias nee SS a is atx =Ota=b= pees L 7 anti yited : z er: ret — =o =x" te aw. Wes Ba a eer 4 Cas aT oe = ‘oO i" Cam Poor = ta Pe =a Mier () is eels cae lima let i) 19. If [2] is the greatest nor at find (a. Pai 1] (bjli re oe 138 have = | taal 7 : 7 _— ~) thy whee : = oe Sy : oO 0 s ol Pe a ae L + Look c= r TATE oven) ole ee be! = —= \—e —_ rs + lie wee ttt een, v wo JS — aes O8G 1 | Sys) oe eee | gy cut nif to. Arete | Ol Sirranit 20. Find lim.» x sin (=) N a C wiped Semel ae Hens x Soy Une jhioes = Fore jc a a is a | = TN Pn \ Ma — ~ i: L ia ie ee ee “| rt Yio = = 3 : SS a al Le eas - a de : im — aes Es ad ae = ees a a “ered en fe oo wats a) 71, Find all values of a such that the function f(x) = oie aiphoet ‘. Pe is continuous ‘ 1, - aye ‘ oS RET _ | Gwen — ma. as , So gate 25, Suppose the total cast, C(q), of producing a quantity q of a product is given by the Aq) where the average cost per unit . quantity produced, q. equation; C(q) = 5000 + 59. Find lig 100 quantity, A(q), equals the total cost, C(q), divided by the Gives tom tt = COT 5 Fenty | = Y- | WvOran o Gest Jar ube meee = YECG7T | 2 i ae: : =) ij = ise Vos | ea as H ay st TU) “yA —SSo0= VF a __ Wividestweush by 9 - r 4 F a fA vin =o Yen 26. Find f"(—1) + f"(2) given that find f(x) given that fd) = ae Fi, x > -i Kio: OF mo - 37. Using the first principle, ean ATL = sme a — = ret Series 2 er ch VET bE — ——- +— Al ar et | | ie) » 4 f = OWE ae Sea] nsion to approximate sin 0.2 up to the second degree near 36 37. Apply the Taylor series expa 3g, Find the intervals where the function fee = Inx + x? is increasing. noi | i) AC Vea ny ml = _ wean ye oct) te aS a Lasse i +} T a in Vogke. opt yo ese y ~ 7 = -\VYeas Be Ee ae xt + Oe Fis 2 ; i : Sueakadt 7 _ i) aoctor f(x) = Vx +1 Fon [111 |, determine ae deralive matches theataese™™ 1 Le eee) = Te. ogy