This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 5.4 MATHEMATICS 112 EXAlVI TWO April 10th, 2007 Name: Instructor and section: . There are 8 problems on 9 pages (counting this page). . No graphing or programmable calculators, notes, or books are allowed.
Scientific calculators are allowed but are not needed. . Give exact answers (fractions, square roots, etc.). Decimal approximations
may not receive full credit. . You do not need to simplify your answers unless told to. Answers such as
_ 32x/25 + 6 12 are okay. V IL' . Use only the scratch paper provided. Work appearing on your scratch paper
will not be graded. . Show your work and make your methods clear. Unjustiﬁed answers may
receive no credit. . Put your ﬁnal answer in the box provided. Problem Possible Score
1 15 l. (5 points each) Simplify each of the following expressions as much as possible. (Answers
on this page Will receive either full'credit or no credit.) ' f——'
(a) V 28564314 + 4x°y6 = Answer: (0) (2x + 2y)(2‘z + 2‘9) 2 Answer: 2. Consider the function f (t) = t2 — 2t. (a) (5 points) Find the range of f (t) ! Answer: . , (b) (5 points) Find the domain of 72—15 Answer: . (c) (5 points) Find a function g(t) so that f(t) + g(t) = t2 + 2t + 3 for all values of t. S . A iswer: .— 3. (a) (3 points) Find the average rate of changed f (1:) =: ﬂ on [9, 16].. Answer: I (b) (3 points) Find the average rate of change of 9(27) = $3 — x on {2, 3]. . Answer: 1 (c) (6 points) Let f(:c) = 1—734. Find f‘1(ac). Answer: 4. (a) (6 points) Let f (cc) 2 (at—1)? Suppose the graph of f (cc) (a parabola) is translated
4 units to the right and 3 units up, and then reﬂected about they — axis. Find
the vertex of the new parabola. ' Answer: (13) (6 points) Find a quadratic polynomial whose graph passes through the origin
and has vertex (2, 4). Answer: 5. (12 points) Suppose 2$+y = 15. Given this constraint, ﬁnd the smallest possible value
of 9:2 + 3/2. I .
Answer: —\] 6. (12 points) Amber is building a rectangular pen. 'She wants to make the two sides that
run in the east—west direction out of barbed Wire, which costs 3 per foot. The other
two sides Will be chain—link fencing, which costs 5 per foot. Find the dimensions of the
largest possible rectangular pen that can be built for 2400. Answer: ‘ { CE 2: + 3
neatly. You may lose points for indecipherable answers.) 7. (10 points) Draw a graph of y = . Specify all intercepts and .asymptotes. (Draw 8. (6 points each) Solve the following equations. (a) 32141 = 27% (b) $210m — 227101 = ——10z Answer: ...
View
Full Document
 Spring '08
 Carlson
 Algebra

Click to edit the document details