6. Read each set of conditions. State the equation of a rational function ax + b of the form f(x) that meets these conditions, and sketch the cx + d graph. vertical a) egative when xE (-∞, - 2), positive when xe(-2, ∞); asymptote at x = - 2, horizontal asymptote at y = 0; always decreasing
6. Read each set of conditions. State the equation of a rational function ax + b of the form f(x) that meets these conditions, and sketch the cx + d graph. vertical a) egative when xE (-∞, - 2), positive when xe(-2, ∞); asymptote at x = - 2, horizontal asymptote at y = 0; always decreasing
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![6. Read each set of conditions. State the equation of a rational function
(0, 0), negative when xe (- 2, 0)
negative when xe (-∞, -2), positive when xe (-2, ∞);
ax + 6
of the form f(x)
that meets these conditions, and sketch the
сх + d
graph.
a) vertical
asymptote at x = - 2, horizontal asymptote at y = 0;
always decreasing
asymptote at x = - 2, horizontal asymptote at y
vertical
b)
x-intercept =
13;
0, y-intercept = 0; positive when xe (-, -2)
or
hole at x = 3; no vertical asymptotes; y-intercept = (0, 0.5)
c)
d) vertical
at y
at y= 0; positive when xe (0, - 2) or (6, ∞), negative when
E(-2, 6); increasing when x E(-0, 2), decreasing
asymptotes at x =
- 2 and x
%3D
6, horizontal asymptote
when xE (2, 0)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F563b618b-3fec-4506-a8cf-b855a78eb7fa%2F805dd18c-7fa9-46e6-a2a9-bd2e64f2c255%2F33dq9y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. Read each set of conditions. State the equation of a rational function
(0, 0), negative when xe (- 2, 0)
negative when xe (-∞, -2), positive when xe (-2, ∞);
ax + 6
of the form f(x)
that meets these conditions, and sketch the
сх + d
graph.
a) vertical
asymptote at x = - 2, horizontal asymptote at y = 0;
always decreasing
asymptote at x = - 2, horizontal asymptote at y
vertical
b)
x-intercept =
13;
0, y-intercept = 0; positive when xe (-, -2)
or
hole at x = 3; no vertical asymptotes; y-intercept = (0, 0.5)
c)
d) vertical
at y
at y= 0; positive when xe (0, - 2) or (6, ∞), negative when
E(-2, 6); increasing when x E(-0, 2), decreasing
asymptotes at x =
- 2 and x
%3D
6, horizontal asymptote
when xE (2, 0)
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