COLLEGE
ALGEBRA EXAM 2
DG NAME
____________
SHOW
ALL WORK ON THIS TEST OR ON SEPARATE PAPER. Circle answers.
TURN IN
ALL WORKSHEETS. CALCULATORS ARE REQUIRED ON THIS TEST.
1.
Given the points (-3, 5) and (-1, -3), find:
a)
midpoint
b)
slope
c) distance
2.
Find the equation (in y = mx + b form)
3. Sketch the graphs of
a)
of
the perpendicular bisector
of
(-3, 5) and (-1, -3).
b)
c)
[Hint: use results of
#1.]
3a)
b)
c)
In
4 - 5, use the graphing calculator or completing the square method
to
find the vertex and sketch the graph. (Outline
calculator steps!)
4. y = 2x2 + 8 x -
5
5. x = -y2 + 8y -
5
6. Find the center and
radius by completing the square. Sketch.
x 2
+ y 2 + 4x – 10y - 7 = 0
7. Let
8.
Let
and
a) f(-3) =
a) find f[g(x)]
and simplify.
b) f(3) =
c) f(4x-7) =
b) find g[f(x)]
and simplify.
9.
Find the domain (give interval notation when appropriate).
Use graphing calculator for c).
a)
b)
c)
d)
10.
Given the equation xy = 4y +
4
11. Given the graph:
a) Domain:
a) Domain:
b) Range:
b) Range:
c) Function?
c) Function?
12.
Let f(x) = 2 x + 3
and g(x) = x
2 - 4 x - 6
a) (f + g)( 2 ) =
b) (f - g)( 2 ) =
c) (f·g)( 2 ) =
d)
(f/g)(2) =
e) (f ◦ g )( 2 )
=
f) (g ◦ f )( 2 )
=
13.
Given
, find f – 1 (x).
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