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Unformatted text preview: Review – Unit II
Find k so that the distance between ( −3, −2 ) and ( 2, k ) is Is y 3 − x + 1 = 0 an equation which defines y as a
function of x ? 33 . If yes, is the function even or odd? Find the center and radius of the circle
2 x 2 + 2 y 2 − 12 x + 4 y + 14 = 0 . I Given: f ( x ) = 4 x 2 − 3 x + 2
f (a + h) − f (a)
Find:
h II Find an equation of the line passing through the point
(−3,5) and perpendicular to 2 x − 7 y = 8 . Give the final
answer in standard form. III An airplane flew a distance of 1000 mi in 8/5 hours
moving with the wind and it flew the same distance in 2
hours moving against the wind. What was the speed of
the airplane? IV Determine whether the function f ( x ) = 2 x 2 − 6 x + 4 has
the minimum or maximum value and find it. Find the domain, all asymptotes, and holes, if any.
x3 + x 2 − 2 x
R( x) = 2
x + 2x − 3 Determine the interval on which the graph lies above the
xaxis. V VI Given: f ( x ) = 1 + 3 x − 4 . Find f −1 ( x ) if it exists. VII Use the Intermediate Value Theorem to show that the
polynomial
f ( x ) = −2 x 5 − 3 x 4 + 4 x 2 + x + 1
has a zero in the interval [1, 2] . VIII Describe the transformations that need to be performed
on the graph of f ( x ) in order to obtain the graph of
g ( x).
Find the domain, range, asymptote, and intercepts of the
function g ( x ) .
(a) f ( x ) = 2 x and (b) f ( x ) = log 2 x and g ( x ) = 2log 2 ( − x − 4 ) − 2 g ( x ) = −23− x + 1 IX X Write as a single logarithm:
⎛m⎞
log 3 ⎜ ⎟ + 2log 3 ( mn ) − 3log 3 m
⎝n⎠ Solve the equation:
log ( x + 1) + log ( x − 2 ) = 1 Solve the equation:
2 x+1 = 51− x XI XII ...
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This note was uploaded on 11/07/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.
 Summer '08
 GERMAN
 Calculus

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