-2 For the function H(x) = 4: (a) graph the rational function using transformations, (b) use the final graph to find the domain and range, and (c) use the final graph to list any vertical, horizontal, or oblique asymptotes. (a) Choose the correct graph below.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(a) graph the rational function using transformations, (b) use the final graph to find the domain and range, and (c) use the final graph to list any vertical, horizontal, or oblique asymptotes.
For the function H(x) =
x+4'
(a) Choose the correct graph below.
O A.
В.
OC.
D.
20-
Ay
20-
20-
20-
-20
20
-20
-20
20
-20
20
20
(b) What is the domain of the given function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The domain of the given function is {x|x is a real number, x> }.
(Type an integer or a simplified fraction.)
B. The domain of the given function is {x|x is a real number, x< }.
(Type an integer or a simplified fraction.)
O C. The domain of the given function is {x\x is a real number, x+ }.
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
D. The domain of the given function is the set of all real numbers.
What is the range of the given function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The range of the given function is {yly is a real number, y> }.
(Type an integer or a simplified fraction.)
O B. The range of the given function is {yly is a real number, y< }.
(Type an integer or a simplified fraction.)
O C. The range of the given function is {yly is a real number, y# }.
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
D. The range of the given function is the set of all real numbers.
(c) What is/are the vertical asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. There is one vertical asymptote. It is
(Type an equation. Use integers or fractions for any numbers in the equation.)
B. The left vertical asymptote is . The right vertical asymptote is
(Type equations. Use integers or fractions for any numbers in the equations.)
O C. There is no vertical asymptote.
What is/are the horizontal asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. There is one horizontal asymptote. It is
(Type an equation. Use integers or fractions for any numbers in the equation.)
B. The top horizontal asymptote is
The bottom horizontal asymptote is
(Type equations. Use integers or fractions for any numbers in the equations.)
O C. There is no horizontal asymptote.
What is/are the oblique asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. There is one oblique asymptote. It is
(Type an equation. Use integers or fractions for any numbers in the equation.)
B. The oblique asymptote with the positive slope is
and the oblique asymptote with the negative slope is
(Type equations. Use integers or fractions for any numbers in the equations.)
O C. There is no oblique asymptote.
Transcribed Image Text:- 2 (a) graph the rational function using transformations, (b) use the final graph to find the domain and range, and (c) use the final graph to list any vertical, horizontal, or oblique asymptotes. For the function H(x) = x+4' (a) Choose the correct graph below. O A. В. OC. D. 20- Ay 20- 20- 20- -20 20 -20 -20 20 -20 20 20 (b) What is the domain of the given function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain of the given function is {x|x is a real number, x> }. (Type an integer or a simplified fraction.) B. The domain of the given function is {x|x is a real number, x< }. (Type an integer or a simplified fraction.) O C. The domain of the given function is {x\x is a real number, x+ }. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) D. The domain of the given function is the set of all real numbers. What is the range of the given function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The range of the given function is {yly is a real number, y> }. (Type an integer or a simplified fraction.) O B. The range of the given function is {yly is a real number, y< }. (Type an integer or a simplified fraction.) O C. The range of the given function is {yly is a real number, y# }. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) D. The range of the given function is the set of all real numbers. (c) What is/are the vertical asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There is one vertical asymptote. It is (Type an equation. Use integers or fractions for any numbers in the equation.) B. The left vertical asymptote is . The right vertical asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) O C. There is no vertical asymptote. What is/are the horizontal asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. There is one horizontal asymptote. It is (Type an equation. Use integers or fractions for any numbers in the equation.) B. The top horizontal asymptote is The bottom horizontal asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) O C. There is no horizontal asymptote. What is/are the oblique asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. There is one oblique asymptote. It is (Type an equation. Use integers or fractions for any numbers in the equation.) B. The oblique asymptote with the positive slope is and the oblique asymptote with the negative slope is (Type equations. Use integers or fractions for any numbers in the equations.) O C. There is no oblique asymptote.
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