Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of f(x) =- X-2 Find the domain of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The domain is all real x, except x= 2. (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. The domain is all real x. Find the x-interoepts of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The x-interoept(s) is/are at x 0". (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. There are no x-intercepts.

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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Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of f(x) =
x-2
Find the domain of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
The domain is all real x, except x= 2.
(Type an integer or a decimal. Use a comma to separate answers as needed.)
B. The domain is all real x.
Find the x-intercepts of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The x-intercept(s) is/are at x= 0'.
(Type an integer or a decimal. Use a comma to separate answers as needed.)
O B. There are no x-intercepts.
Find the y-intercepts of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The y-intercept(s) is/are at y = 0.
(Type an integer or a decimal. Use a comma to separate answers as needed.)
O B. There are no y-intercepts.
Find any horizontal asymptotes of f(x). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A.
The function has one horizontal asymptote,
(Type an equation.)
O B.
The function has two horizontal asymptotes. The top asymptote is
(Type equations.)
and the bottom asymptote is
C. There are no horizontal asymptotes.
Find any vertical asymptotes of f(x). Select the correct choice below and, if necessary. fill in the answer box(es) to complete your choice.
A.
The function has one vertical asymptote, x=2.
(Type an equation.)
O B.
The function has two vertical asymptotes. The leftmost asymptote is
and the rightmost asymptote is
(Type equations.)
Oc. There are no vertical asymptotes.
Find the intervals where f(x) is increasing or decreasing. Select the correct choice below and fill in the answer box(es) to complete your choice.
O A. The function is increasing on
It is never decreasing.
(Type your answer in interval notation. Type an integer or a decimal. Use a comma to separate answers as needed.)
B.
The function is increasing on (3.00). It is decreasing on (- 0.2).(2,3).
(Type your answers in interval notation. Type integers or decimals. Use a comma to separate answers as needed.)
Oc.
The function is decreasing on
It is never increasing.
(Type your answer in interval notation. Type an integers or a decimal. Use a comma to separate answers as needed.)
Find the location of any local extrema of f(x). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
Transcribed Image Text:Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of f(x) = x-2 Find the domain of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The domain is all real x, except x= 2. (Type an integer or a decimal. Use a comma to separate answers as needed.) B. The domain is all real x. Find the x-intercepts of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The x-intercept(s) is/are at x= 0'. (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. There are no x-intercepts. Find the y-intercepts of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The y-intercept(s) is/are at y = 0. (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. There are no y-intercepts. Find any horizontal asymptotes of f(x). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one horizontal asymptote, (Type an equation.) O B. The function has two horizontal asymptotes. The top asymptote is (Type equations.) and the bottom asymptote is C. There are no horizontal asymptotes. Find any vertical asymptotes of f(x). Select the correct choice below and, if necessary. fill in the answer box(es) to complete your choice. A. The function has one vertical asymptote, x=2. (Type an equation.) O B. The function has two vertical asymptotes. The leftmost asymptote is and the rightmost asymptote is (Type equations.) Oc. There are no vertical asymptotes. Find the intervals where f(x) is increasing or decreasing. Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The function is increasing on It is never decreasing. (Type your answer in interval notation. Type an integer or a decimal. Use a comma to separate answers as needed.) B. The function is increasing on (3.00). It is decreasing on (- 0.2).(2,3). (Type your answers in interval notation. Type integers or decimals. Use a comma to separate answers as needed.) Oc. The function is decreasing on It is never increasing. (Type your answer in interval notation. Type an integers or a decimal. Use a comma to separate answers as needed.) Find the location of any local extrema of f(x). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
Find the location of any local extrema of f(x). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. There is a local maximum at x=
There is no local minimum.
(Type an integer or a decimal. Use a comma to separate answers as needed.)
D. There is a local maximum at x = and there is
local minimum at x=
(Type integers or decimals. Use a comma to separate answers as needed.)
O C. There is a local minimum at x= 3. There is no local maximum.
(Type an integer or a decimal. Use a comma to separate answers
s needed.)
O D. There are no local extrema.
Find the intervals where f(x) is concave upward or downward. Select the correct choice below and fill in the answer box(es) to complete your choice.
O A. The function is concave upward on
It is never concave downward.
(Type your answer in interval notation. Use a comma to separate answers as needed.)
O B. The function is concave upward on (-oo,0).(2,00). It is concave downward on (0.2)
(Type your answers in interval notation. Use a comma to separate answers as needed.)
O C. The function is concave downward on
It is never concave upward.
(Type your answer in interval notation. Use a comma to separate answers as needed.)
Find the location of any inflection points of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
VA
There is an inflection point at x= 0.
(Type an integer or a decimal. Use a comma to separate answers as needed.)
O B. There are no inflection points.
Which graph below shows f(x)?
OB.
Oc.
Transcribed Image Text:Find the location of any local extrema of f(x). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There is a local maximum at x= There is no local minimum. (Type an integer or a decimal. Use a comma to separate answers as needed.) D. There is a local maximum at x = and there is local minimum at x= (Type integers or decimals. Use a comma to separate answers as needed.) O C. There is a local minimum at x= 3. There is no local maximum. (Type an integer or a decimal. Use a comma to separate answers s needed.) O D. There are no local extrema. Find the intervals where f(x) is concave upward or downward. Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The function is concave upward on It is never concave downward. (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The function is concave upward on (-oo,0).(2,00). It is concave downward on (0.2) (Type your answers in interval notation. Use a comma to separate answers as needed.) O C. The function is concave downward on It is never concave upward. (Type your answer in interval notation. Use a comma to separate answers as needed.) Find the location of any inflection points of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. VA There is an inflection point at x= 0. (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. There are no inflection points. Which graph below shows f(x)? OB. Oc.
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