Math Analysis Review 3b.pdf - San Marino High School

3.4
- --l1!.-J I '7 ~ I NAME Practice Wo·rksheet
DATE
Rational Functions and Asymptotes
, Determine any horizontal, vertical, or slant asymptotes in the graph of each
function .. '
l.y=--
. x
Vtfhc&" x: -I
j.t,r,WYl~: y ~o
x-I
2. y = x5_4x3
\): X:. 0; t::z
It~y =0
3. y = 5x2 - lOx + 1 x-2
X:~
y::5x
For each parent graph, describe the transformation(s) that have taken place in the
related graph of each"function. Then sketch the graph.
4.fix) = 1. x
4
a.y = ;
I I I I IY+
01 I I I I Ix
-1_1
b.y = x-I
Graph each rational function.
?'f'.
c:; y= x+3
J. x-2
.I' 1\
~ ~ \
"V
1\'--:
0 Y x
i:::
""V~//
/.
0~
x
Y
7
x2 - 1
Y = x + 1
Y
r\
••••
. L
\
\.
'II
v
~; x
.....•
85!l
x
,)
~

Solve each inequality~
o .2.+3>£
f· t t /e 2n+l < n-l
. 3n + 1 3n + 1
-
~
If 1+2L>2 '4
/2. 2x _ 5x + 1 > 3
...... ; 3
X /
·7
Create a function of the form y = f(x) that satisfies
conditions.
each set of
/3. ,vertical asymptote at x = 1, hole at x = 0
, ,.'
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