rational equations worksheet

need typed workings out

w question Studypool
WebMail – Re: Grades
Prentice Hall Algebra 2
Rational Exponents
Find any points of discontinuity for the graph of the rational function y =
horizontal asymptotes and any holes.
249. Describe any vertical or
Chapter 7 Exponential and
Logarithmic Functions
There is a vertical asymptote at x = -7 and a horizontal asymptote at y = 0.
Chapter 8 Rational Functions
Exercises
Chapter 9 Sequences and Series
Find any points of discontinulty for each rational function. Sketch the graph. Describe any vertical or horizontal
asymptotes and any holes.
Chapter 10 Quadratic Relations
and Conic Sections
19. y =
1-1
(x+2)(x-1)
+ Chapter 11 Probability and
Statistics
20. y =
12-1
2r+3
+
Chapter 12 Matrices
21. y = 12+2
Chapter 13 Perlodic Functions
and Trigonometry
22. The start-up cost of a company is $150,000. It costs $.17 to manufacture each headset Graph the function that
represents the average cost of a headset. How many must be manufactured to result in a cost of less than $5 per
headset?
8-4 Rational Expressions
Qulck Review
+ Chapter 14 Trigonometric
Identities and Equations
A rational expression is in simplest form when its numerator and denominator are polynomials that have no common
factors.
+
Skills Handbook
Example
English Spanish Illustrated Glossary
Simplify the rational expression. State any restrictions on the variable.
Selected Answers
Index
Acknowledgments
16
+ Br + 15
(21 + 1 + 3 (2 + 4)
WAJI + 5)
(25 + + 4)
* 5, 23, and r* 4
Image Long Description
Exercises
Simplify each rational expression. State any restrictions on the variable.
x+10x+25
23.
12+9x+20
-21-24 x2-1
24.
32 +7x+12
482-28
27
25.
22+5x+4 12+2x+1
26. What is the ratio of the volume of a sphere to its surface area?
Page 555
0
7
di 10
A
FOTO
BOOK
F2
DO F3
000
F4
F5
F6
F7
F8
F9
F10
#3
$
4
%
5
&
6
7
* oo
9
0
E
R
Y
U
0
O
Р
ll
WebMail – Re: Grades
wy ummonzumanyan vurucanymumas a vencarasympia Euangamor
udypool
andbook
y = c.
anish Illustrated Glossary
.nswers
dgments
Example
Graph the equation y = 22 +1. Identify the x-and y-Intercepts and the asymptotes of the
b = 2, so the vertical asymptote is x = 2.
c=1, so the horizontal asymptote is y = 1.
Translate y = two units to the right and one unit up.
When y = 0,x = -1.
The x-intercept is (-1, no).
When x = 0,y = -1
The y-intercept is (0, -1).
O
Image Long Description
Exercises
Graph each equation. Identify the x- and y-Intercepts and the asymptotes of the graph.
11. y =
12. y = x2
Anale
13. y = 2
-4
2
x+3
14. y =
1
Wrlte an equation for the translation of y = that has the glven asymptotes.
15. x = 0,y = 3
16. x.= 2y = 2
17. x= -3, y = -4
18. x = 4,y = -3
Copyright 2017 © Pearson Education, Inc. or its affiliate(s). All rights reserved. Privacy Policy
| Terms of Use
| Rights and Permissions
JUN
7
I
5
connexus.com
€
IL
Pr
WebMail – Re: Grades
pool
y 30 42 54
Write the function that models each relationship. Find z when x= 4 and y = 8.
9. z varies jointly with x and y. When x = 2 and y = 2, z = 7.
10. z varies directly with x and inversely with y. When x = 5 and y = 2, z = 10.
8-2 The Reciprocal Function Family
Quick Review
2 Matrices
3 Periodic Functions
nometry
4 Trigonometric
and Equations
The graph of a reciprocal function has two parts called branches. The graph of y = + c is at
by b units horizontally and c units vertically. It has a vertical asymptote at x = b and a horizo
y
ndbook
y = c.
nish Illustrated Glossary
Example
Graph the equation y = 12 + 1. Identify the x- and y-Intercepts and the asymptotes of the gr
swers
b = 2, so the vertical asymptote is x = 2.
gments
c= 1, so the horizontal asymptote is y = 1.
Translate y = two units to the right and one unit up.
When y = 0,x = -1.
The x-intercept is (-1, no).
When x = 0,y = -1
The y-intercept is (0, -Ź).
Image Long Description
Exercises
Graph each equation. Identify the x- and y-Intercepts and the asymptotes of the graph.
1
11. y =
12. y = 2
-1
ZTEN
| |
4
13. y =
14. y = 273 – 1
Write an equation for the translation of y = f that has the given asymptotes.
15. x = 0,y = 3
16. x = 2,y = 2
JUN
7
di i
9/11/2016 11:50 PM Cristen Jones
Unit 3 Sample Work – Complete, check and correct the problems below from you Alg
work to show. What actions did you take if you got an exercise in correct?
p. 554-564 # 9, 10, 12, 14, 16,20,21 25, 26, 28, 29, 32
Upload your completed work using the dropbox