Determine the points at which the function f to the right has discontinuities. For each point state the conditions in the continuity checklist below that are violated 1. f(a) is defined (a is in the domain of f) 2. fim f(x) exists. 3. 2- Xa 3. lim f(x)= f(a) (the value of f equals the limit of f at a) f(x) is discontinuous at x= (Use a comma to separate answers as needed.) Select the correct choice below and, if necessary, fill in the answer box within your choice, O A. The point(s) at x= violate(s) the first condition in the checklist. (Use a comma to separate answers as needed.) O B. No points violate the first condition in the continuity checklist. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The point(s) at x= violate(s) the second condition in the checklist. (Use a comma to separate answers as needed.) O B. No points violate the second condition in the continuity checklist. Note that the third condition is automatically violated if either the first or the second condition is violated. Select choice choice below and, if necessary, fill in the answer box within your O A. The point(s) at x= violate(s) the third condition in the checklist (Use a comma to separate answers as needed.) O B. No points violate the third condition in the continuity checklist

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Determine the points at which the function f to the right has discontinuities. For each point state the conditions in the continuity checklist below that are
violated.
1. f(a) is defined (a is in the domain of f).
2. lim f(x) exists.
3-
2-
3. lim f(x)= f(a) (the value of f equals the limit of f at a).
1-
2 3
f(x) is discontinuous at x =
(Use a comma to separate answers as needed.)
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The point(s) at x=
violate(s) the first condition in the checklist.
Use a comma to separate answers as needed.)
OB. No points violate the first condition in the continuity checklist.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
OA The point(s) at x=
violate(s) the second condition in the checklist.
Use a comma to separate answers as needed.)
OB. No points violate the second condition in the continuity checklist.
Note that the third condition is automatically violated if either the first or the second condition is violated. Select the correct choice below and, if necessary, fill in the answer box within your
choice
O A The point(s) at x=
violate(s) the third condition in the checklist
(Use a comma to separate answers as needed.)
OB. No points violate the third condition in the continuity checklist.
Transcribed Image Text:Determine the points at which the function f to the right has discontinuities. For each point state the conditions in the continuity checklist below that are violated. 1. f(a) is defined (a is in the domain of f). 2. lim f(x) exists. 3- 2- 3. lim f(x)= f(a) (the value of f equals the limit of f at a). 1- 2 3 f(x) is discontinuous at x = (Use a comma to separate answers as needed.) Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The point(s) at x= violate(s) the first condition in the checklist. Use a comma to separate answers as needed.) OB. No points violate the first condition in the continuity checklist. Select the correct choice below and, if necessary, fill in the answer box within your choice. OA The point(s) at x= violate(s) the second condition in the checklist. Use a comma to separate answers as needed.) OB. No points violate the second condition in the continuity checklist. Note that the third condition is automatically violated if either the first or the second condition is violated. Select the correct choice below and, if necessary, fill in the answer box within your choice O A The point(s) at x= violate(s) the third condition in the checklist (Use a comma to separate answers as needed.) OB. No points violate the third condition in the continuity checklist.
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