MATH 1050-003: Quiz 3
There are problems on both sides of each sheet.
January 29, 2008
Name:
u I.D.:
This is a closed book and closed note quiz. No calculators are allowed. Please
write neatly in pencil and circle your final solution.
Here are a few things you may need for this quiz. Note that I will not include these on the
exam.
y = mx + b
(y − y1 ) = m(x − x1 )
r2 = (x − h)2 + (y − k)2
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1. a) Find the slope-intercept form of the equation of the line passing through the points.
Hint: Find the slope first and then use the point slope form of a line.
b) Sketch the line.
(5, −1), (−5, 5)
2
2. Determine whether the lines L1 and L2 passing through the pair of points are parallel,
perpendicular, or neither.
L1 : (3, 6), (−6, 0)
L2 : (0, −1), (5, 73 )
3. Write the standard form of the equation of the circle with the given characteristics.
Center: (2, −1); radius: 4
3
4. Use the algebraic tests to check for symmetry with respect to both axes and the origin.
y=
4
x2
x
+1
5. Find the domain of the function.
g(x) =
5
3
1
+
x x+2
6. Evaluate the function at each specified value of the independent variable and simplify.
2x + 1, x < 0
f (x) =
2x + 2, x ≥ 0
(a) f (−1)
(b) f (0)
(c) f (2)
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