b) List the roots (in form a = r) in order from smallest to largest. Also, list the undefined points of the function from smallest to largest. Finally, list the vertical asymptote(s). If there are more blanks provided than needed for a given feature, enter NONE in all remaining, unneeded blanks. The information for function f(x) has been completed as an example. %3D f(x): Zeros: a = 3, x =NONE Holes: a = NONE, x = NONE Vertical Asymptotes: ¤ = -6, x = NONE 9(x): (And remember, for this and all functions in this problem, list your answers for each part in ascending order) Zeros: r = I = Holes: a = Vertical Asymptotes: I = h(x): Zeros: I = Holes: a = Vertical Asymptotes: a =

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,...
icon
Related questions
Question
In this problem, we will examine the short-run behavior of the following functions. As you complete the chart, look carefully for patterns.
I – 3
a) f(x) =
I + 6
(r+ 3) (x – 4)
b) g(x)
1
2 (л + 2) (т — 7)
c) h(x)
x +2
(x + 2.4) (x + 5)
(x + 1) (r + 5)
d) l(x) =
12 – 6x + 8
e) т (г) —
I – 2
Complete the following table using the formulas for each of the above functions and any additional information you can obtain from the graph of each function.
For this question, consider holes and vertical asymptotes to be undefined points.
Function features
function
number of (distinct) zeros
number of undefined points
f(r)
g(x)
h(x)
e(x)
m(x)
b) List the roots (in form a = r) in order from smallest to largest. Also, list the undefined points of the function from smallest to largest. Finally, list the vertical
asymptote(s). If there are more blanks provided than needed for a given feature, enter NONE in all remaining, unneeded blanks. The information for function
f(x) has been completed as an example.
Transcribed Image Text:In this problem, we will examine the short-run behavior of the following functions. As you complete the chart, look carefully for patterns. I – 3 a) f(x) = I + 6 (r+ 3) (x – 4) b) g(x) 1 2 (л + 2) (т — 7) c) h(x) x +2 (x + 2.4) (x + 5) (x + 1) (r + 5) d) l(x) = 12 – 6x + 8 e) т (г) — I – 2 Complete the following table using the formulas for each of the above functions and any additional information you can obtain from the graph of each function. For this question, consider holes and vertical asymptotes to be undefined points. Function features function number of (distinct) zeros number of undefined points f(r) g(x) h(x) e(x) m(x) b) List the roots (in form a = r) in order from smallest to largest. Also, list the undefined points of the function from smallest to largest. Finally, list the vertical asymptote(s). If there are more blanks provided than needed for a given feature, enter NONE in all remaining, unneeded blanks. The information for function f(x) has been completed as an example.
b) List the roots (in form a = r) in order from smallest to largest. Also, list the undefined points of the function from smallest to largest. Finally, list the vertical
asymptote(s). If there are more blanks provided than needed for a given feature, enter NONE in all remaining, unneeded blanks. The information for function
f(x) has been completed as an example.
%3D
f(x):
Zeros: a = 3, x =NONE
Holes: a = NONE, x = NONE
Vertical Asymptotes: ¤ = -6, x = NONE
9(x): (And remember, for this and all functions in this problem, list your answers for each part in ascending order)
Zeros: r =
I =
Holes: a =
Vertical Asymptotes: I =
h(x):
Zeros: a =
Holes: a =
Vertical Asymptotes: I =
e(x):
Zeros: 1 =
I =
Holes: z =
Vertical Asymptotes: I =
I =
m(x):
Zeros: I =
Holes: a =
Vertical Asymptotes: a =
||
Transcribed Image Text:b) List the roots (in form a = r) in order from smallest to largest. Also, list the undefined points of the function from smallest to largest. Finally, list the vertical asymptote(s). If there are more blanks provided than needed for a given feature, enter NONE in all remaining, unneeded blanks. The information for function f(x) has been completed as an example. %3D f(x): Zeros: a = 3, x =NONE Holes: a = NONE, x = NONE Vertical Asymptotes: ¤ = -6, x = NONE 9(x): (And remember, for this and all functions in this problem, list your answers for each part in ascending order) Zeros: r = I = Holes: a = Vertical Asymptotes: I = h(x): Zeros: a = Holes: a = Vertical Asymptotes: I = e(x): Zeros: 1 = I = Holes: z = Vertical Asymptotes: I = I = m(x): Zeros: I = Holes: a = Vertical Asymptotes: a = ||
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education