Algebra 2 Notes
May 20, 2009
Homework #63 Answers
1)
13)
4)
17) A varies jointly
with b and h
18) h varies directly
with A and
inversely with b
23) l varies directly
with V and
inversely with
the product of
w and h
7) direct;
8) inverse;
12) neither
24)
27)
60) B
61) F
62) A
Warm-Ups
1) Suppose x varies inversely with y. Write a
function that models the inverse variation:
x = 2 when y = 3
2) Graph the equation that you found in #1 using
the following table:
x -12 -6 -3 -2
y
-1
-½
½
1
2
3
6
12
Graph of y = x/6
12
10
The x-axis is
a horizontal
asymptote
8
6
4
2
The y-axis is
a vertical
asymptote
-15
-10
-5
5
-2
-4
-6
-8
-10
-12
10
Reciprocal Functions
 The functions that model inverse variations are called
“reciprocal functions”
 The general form for a reciprocal function is:
 x = h represents the vertical asymptote and y = k
represents the horizontal asymptote
 In other words, h translates the graph horizontally and k
translates the graph vertically
12
10
8
6
4
2
-15
-10
-5
5
-2
-4
-6
-8
-10
-12
10
Writing an Equation
 Write an equation for the translation
of
that has asymptotes at x = -2
and y = 3
 Write an equation for the translation
of
up.
that is 4 units left and 5 units
Homework #64
Page 498 #1, 22-24, 27, 29,
32, 53, 55-57