Sketch the curve 3x2 y = 2x2 – 5 finding maxima, minima, points of inflection, vertical and horizontal asymptotes. Also find where the graph is increasing, decreasing, concave up, and concave down. If an answer does not exist, answer "dne" (without the quotes). If an answer is infinite, answer "inf" for positive infinity "ninf" for negative infinity (without the quotes). If more than one answer, list them from smallest to largest. 1. local maximum at x = 2. local minimum at x = dne 3. point of inflection at x = dne

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.6: More On Graphing Rational Functions
Problem 28PS
icon
Related questions
Question
Sketch the curve
3x2
y =
2x2 – 5
finding maxima, minima, points of inflection, vertical and horizontal asymptotes. Also find where the graph is increasing, decreasing, concave up, and concave
down.
If an answer does not exist, answer "dne" (without the quotes). If an answer is infinite, answer "inf" for positive infinity "ninf" for negative infinity (without the quotes).
If more than one answer, list them from smallest to largest.
1. local maximum at x =
2. local minimum at x =
dne
3. point of inflection at x =
dne
4. 5. vertical asymptotes at x =
and
6. horizontal asymptote at y =
7 - 10. increasing from x = ninf
to
and from
to
11 -14. decreasing from x =
to
and from
to
inf
15 - 18. concave up from x =
ninf
to
and from
to
inf
19 20.concave down from x =
to
Transcribed Image Text:Sketch the curve 3x2 y = 2x2 – 5 finding maxima, minima, points of inflection, vertical and horizontal asymptotes. Also find where the graph is increasing, decreasing, concave up, and concave down. If an answer does not exist, answer "dne" (without the quotes). If an answer is infinite, answer "inf" for positive infinity "ninf" for negative infinity (without the quotes). If more than one answer, list them from smallest to largest. 1. local maximum at x = 2. local minimum at x = dne 3. point of inflection at x = dne 4. 5. vertical asymptotes at x = and 6. horizontal asymptote at y = 7 - 10. increasing from x = ninf to and from to 11 -14. decreasing from x = to and from to inf 15 - 18. concave up from x = ninf to and from to inf 19 20.concave down from x = to
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning