L12
1. Find r so that the line through (3,4)
โ
and (6, )r is
(a) parallel
(b) perpendicular
to 322
x
y+=.
2. Given two lines 11 1
A
xByC+=
and 22 2
A
xByC
+
=, neither of which is
vertical ( 12
0, 0BBโ โ ). Find the relationship between the coefficients if the
lines are::
(a) parallel;
(b) perpendicular
(c) coincident
3. Which of the following relations represent a function?
A.
22
0yx+=
B.
22
0yxโ=
C.
33
0yx+=
4. An open aquarium of height 1.5 feet with rectangular sides and base is to have
a volume of 6 ft3. Let x denote the length and y the width of the base.
(a) Express y as a function of x.
(b) Express the total number S of square feet of glass needed as a function
of x.
(c) If the width y must be no more than 1 foot, find the domain of the
function
(
)
Sx.
5. Express the area A of the triangle (on
the right) bounded by the lines yx
=
,
0y= (x-axis) , and the vertical dashed
line as a function of x where 0 1
x
โค
โค.
6. If
()
81fx
x
=โ
and
()
2
41gx x=โ, find the quotient
()
f
x
g
โโ
โโ
โโ and its domain. (Hint: use the
Reciprocal Property to solve the
inequality.)
x
