Unformatted text preview: 37‘ An open box with the squats base is to be made; from a square piece of cardboard 263 inches on a
Side by cutting out a square from each corner and turning up the sides. a) Express the voiume V of the box as a function of the length x of the side of the sqoare out from each
comer. b) What is the volume if a 3—inch square is out out? 0) What is the volume if a 10inch square is out out? 38. An opan box with {he square base: is required to have a voiume of 10 cubic feet. 3) Express the mono: A of materiai useé to make such a box as a ﬁmcﬁon of the length x ofthe side
ofthe square base, V b) How much material is required for a box with 1 foot by 1 foot square base? 39. Let P = (x,y) be a point of the graph of y = J)? . Express the dis£ance d from P to the: point (I, O)
as a ﬁmction of x. What is the domain ofﬁ‘sis function? Chapter 4
40. Given Rx} : —3x + 3. Without computing or graphing, answer the nest two questions. What is the average: rate of change of f? is this function increasing, deoreasing or constant? 41,. Graph ﬁx) = :SzxI 42. Write the function f(x) = 2x2  426 —i in the form ﬁx) 2 a(x _. hf + k and graph it using
Hansfonnations. 43. Graph each quadrazic function by detonnining whother its graph opens up or down and ﬁnding its
vertex, axis of symmetry, yintercept, and xiniercepis, if any. a_)f(x)z21c2 «x~1
1)) f(x)= ~32? +2x4 44. Detomine, wii‘hout graphing, whothoy the giveo quaératio function has the maximum who or the
minimum value and then ﬁnd this value. ' a) f(x) = 2x2 6x+1
b) ﬁx) z—xz —3x+5 45. A fanner wiih 4090 meters of fencing wants to enclose a rectanguiar plot that borders on a river. If
the {annex does not fence the side aiong the river, what is the iargest area thai can be enciosed? 46. The price 33 and me quantity x sold of a ceﬁain product obey the demand equation x=~5p+§09 , ogpszo 3} Express the mvenuo R as a function of x V
b} What is tho revenue if 151mm are sold? 0) What quantity x maximizes revenue? What is the maximum revenue?
(1) What price shouid the company charge so maximize revenue? Cizapter 5
47. Final“; the vorticai and horizontal? asymiptotes, if any, of each rational function. Write ihoir equations
2x2 + 3
a) x = WM
f() x" ~3x—4
3x + I
x2 ._ 4
3:3“ + 3 C) f{x):’b ........... 2x3 19) fix}: ...
View
Full Document
 Spring '08
 any

Click to edit the document details