Horizontal asymptotes Study guides, Class notes & Summaries
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![Pre Calculus: Hyperbola's, Ellipsises, Parabola's, and Circles with 100% complete solutions already graded A](/docpics/64174ad856989_2489641.jpg)
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Pre Calculus: Hyperbola's, Ellipsises, Parabola's, and Circles with 100% complete solutions already graded A
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equation for asymptotes 
y-y1 = m (x-x1) 
 
 
 
When are ellipsis's vertical? 
when biggest denominator is under Y term 
 
 
 
 
 
 
00:03 
 
01:28 
When are ellipsis's horizontal? 
when biggest denominator is under X term 
 
 
 
How can you identify the "a" term for Ellipsis's? 
it is always under the first term 
 
 
 
When are hyperbola's vertical? 
when Y term comes first in sequence 
 
 
 
when are hyperbola's horizontal? 
when X term comes first in sequence 
 
 
 
Where do you begin ...
![Edexcel A Level Maths – Pure A+ Graded 100% Verified](/docpics/4235938/65a570c9e0a19_4235938_121_171.jpeg)
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Edexcel A Level Maths – Pure A+ Graded 100% Verified
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Edexcel A Level Maths – Pure A+ Graded 100% Verified 
 
Natural Numbers ANS: The set of numbers 1, 2, 3, 4, ... Also called counting numbers. 
 
Integers ANS: The set of whole numbers and their opposites 
Z⁺ 
Z⁺₀ 
 
Rational Number ANS: set of all numbers that can be written as a fraction of two integers 
Q 
 
irrational numbers ANS: Numbers that can't be written as a fraction... examples √2 and π 
 
Universal Set ANS: A set that includes all the objects being discussed. 
 
- Ex...
![College Level Mathematics Placement Pretest With Correct Answers On The Last Page |100% verified|](/docpics/4696003/65eae18264d80_4696003_121_171.jpeg)
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College Level Mathematics Placement Pretest With Correct Answers On The Last Page |100% verified|
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1. 2x(x 3) (x 1)(x 2) 
a. 2 x 7x 2. b. 2 x 5x 2 . c. 2 3x 7x 2. d. 2 3x 5x 2. e. 2 3x 5x 2 . 
2. 7 
2 2 
x 
x x 
 
a. 7 
 
 
2 
x 
x 
 
. 
b. 7 
2 
x 
x 
 
. 
c. 
2 
29 14 
4 
x x 
x 
 
. 
d. 
2 
29 14 
4 
x x 
x 
 
. 
e. 7 
4 
x 
. 
3. 3 2 x = 
a. 
2 
3 x . b. 3 x 
 
. c. 
3 
2 x . d. 6 x 
 
 . e. 6x 
two vertical asymptotes; one oblique asymptote . b. one ver...
![WGU C957 Applied Algebra - Brandy Exam Questions With Explanations Of Answers.](/docpics/5346254/664865ff8be35_5346254_121_171.jpeg)
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WGU C957 Applied Algebra - Brandy Exam Questions With Explanations Of Answers.
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Asymptote - correct answer a horizontal, vertical, or slanted line that a graph approaches but never touches 
 
coefficient of determination - correct answer A statistic that measures how well a regression prediction approximates the real data points. An r^2 of 1 indicates that the regression prediction is a perfect fit for the data 
 
common ratio - correct answer ...
![Algebra 2 B- Lesson 3: Rational Functions and Their Graphs | Questions with 100% correct answers | Verified](/docpics/3122671/64bec589484ae_3122671_121_171.jpeg)
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Algebra 2 B- Lesson 3: Rational Functions and Their Graphs | Questions with 100% correct answers | Verified
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Suppose that w and t vary inversely and that t=1/5 when w=4. Write a function that models the inverse 
variation, and find t when w=9. - t=4/5w; 4/45 
Suppose that y varies directly with x and inversely with z, and y=18 when x=15 and z=5. Write the 
equation that models the relationship. Then find y when x=21 and z=7. - y=6x/z; 18 
Graph the function y=13/6x - Graph C 
Sketch the asymptotes, and graph the function y= 5/(x-2) +3 - Graph C 
This graph of a function is translation of y=4/x. what is...
![CALCULUS FINAL EXAM QUESTIONS WITH VERIFIED ANSWERS](/docpics/5348861/66489fca550b7_5348861_121_171.jpeg)
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CALCULUS FINAL EXAM QUESTIONS WITH VERIFIED ANSWERS
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evaluate the integral 2/1, ln(x)/x dx - ANSWER-(ln2)^2/2 
 
consider the function f(x)=x^4-4x^3. which of the following is NOT true - ANSWER-f has a local extrema at x=0 and x=3 
 
find the work done by a force F=sqroot 2x+1 N to move an object along a straight path from a distance of 0 meters to a distance of 4 meters - ANSWER-26/3 J 
 
an object is moving along the x-axis. Let s(t), v(t) and a(t) be functions giving the position, the velocity, and the acceleration of the object at time t. whic...
![College Level Mathematics Placement Pretest With Correct Answers On The Last Page |100% verified|](/docpics/4696004/65eae18541cc3_4696004_121_171.jpeg)
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College Level Mathematics Placement Pretest With Correct Answers On The Last Page |100% verified|
- Exam (elaborations) • 16 pages • 2024
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1. 2x(x 3) (x 1)(x 2) 
a. 2 x 7x 2. b. 2 x 5x 2 . c. 2 3x 7x 2. d. 2 3x 5x 2. e. 2 3x 5x 2 . 
2. 7 
2 2 
x 
x x 
 
a. 7 
 
 
2 
x 
x 
 
. 
b. 7 
2 
x 
x 
 
. 
c. 
2 
29 14 
4 
x x 
x 
 
. 
d. 
2 
29 14 
4 
x x 
x 
 
. 
e. 7 
4 
x 
. 
3. 3 2 x = 
a. 
2 
3 x . b. 3 x 
 
. c. 
3 
2 x . d. 6 x 
 
 . e. 6x 
two vertical asymptotes; one oblique asymptote . b. one ver...
![AQA AS FURTHER MATHEMATICS 7366/1 Paper 1 Version: 1.0 Final G/LM/Jun23/E7 7366/1 (JUN237366101) AS FURTHER MATHEMATICS Paper 1QUESTION PAPER & MARKING SCHEME/ [MERGED] Marl( scheme June 2023](/docpics/4426742/65c0f049296ca_4426742_121_171.jpeg)
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AQA AS FURTHER MATHEMATICS 7366/1 Paper 1 Version: 1.0 Final G/LM/Jun23/E7 7366/1 (JUN237366101) AS FURTHER MATHEMATICS Paper 1QUESTION PAPER & MARKING SCHEME/ [MERGED] Marl( scheme June 2023
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AQA 
AS 
FURTHER MATHEMATICS 
7366/1 
Paper 1 
Version: 1.0 Final 
G/LM/Jun23/E7 7366/1 (JUN) 
AS 
FURTHER MATHEMATICS 
Paper 1 
Monday 15 May 2023 Afternoon Time allowed: 1 hour 30 minutes 
Materials 
 You must have the AQA Formulae and statistical tables booklet for 
A-level Mathematics and A-level Further Mathematics. 
 You should have a graphical or scientific calculator that meets the 
requirements of the specification. 
Instructions 
 Use black ink or black ball-point pen. Pencil...
![Calculus 1: Limits - Study Notes](/docpics/63fcb3e237a7c_2416515.jpg)
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Calculus 1: Limits - Study Notes
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Calculus 1 - Limits: Introduction to Limits, An Intuitive Understanding, Averages Rates of Changes and Secant Lines, Defining the Slope of A Curve, Instantaneous Rate of Change and Tangent Lines, Limits of Function Values, The Limit Laws, Eliminating Common Factors from Zero Denominators, Horner Method, Continuity, Limits at Infinity; Horizontal Asymptotes. Coupled with examples of problems with discussion step by step.
![Limits at Infinity & Horizontal Asymptotes](/docpics/2834956/6477db5d58ed8_2834956_121_171.jpeg)
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Limits at Infinity & Horizontal Asymptotes
- Class notes • 2 pages • 2023
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Finding & identifying horizontal asymptotes given functions, and being able to estimate limits given a graphical representation of the function. Also further info on vertical asymptotes.
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