Problem 1E: Say whether the function graphed is continuous on [ −1, 3]. If not, where does to be continuous and... Problem 2E: Say whether the function graphed is continuous on [ -1, 3]. If not, where does to be continuous and... Problem 3E: Say whether the function graphed is continuous on [ -1, 3]. If not, where does to be continuous and... Problem 4E: Say whether the function graphed is continuous on [ −1, 3]. If not, where does to be continuous and... Problem 5E: Exercises 5-10 refer to the function f(x)={x211x02x,0x11,x=12x+4,1x20,2x3 graphed in the... Problem 6E: Exercises 5-10 refer to the function f(x)={x21,1x02x,0x11,x=12x+4,1x20,2x3 graphed in the... Problem 7E: Exercises 510 refer to the function f(x)={x21,1x02x,0x11,x=12x+4,1x20,2x3 graphed in the... Problem 8E: Exercises 5–10 refer to the function
graphed in the accompanying figure.
8. At what values of x is... Problem 9E: Exercises 5–10 refer to the function
graphed in the accompanying figure.
9. What value should be... Problem 10E: Exercises 5–10 refer to the function
graphed in the accompanying figure.
10. To what new value... Problem 11E: At which points do the functions in Exercise fail to be continuous? At which points, if any, are the... Problem 12E: At which points do the functions in Exercise fail to be continuous? At which points, if any, are the... Problem 13E: At what points are the functions in Exercise continuous? y=1x23x Problem 14E: At what points are the functions in Exercise continuous?
Problem 15E: At what points are the functions in Exercise continuous? y=x+1x24x+3 Problem 16E Problem 17E: At what points are the functions in Exercise continuous?
Problem 18E: At what points are the functions in Exercise continuous? y=1x+1x22 Problem 19E Problem 20E Problem 21E: At what points are the functions in Exercise continuous? y=csc2x Problem 22E Problem 23E Problem 24E: At what points are the functions in Exercises 13–32 continuous?
24.
Problem 25E Problem 26E Problem 27E Problem 28E Problem 29E: At what points are the functions in Exercises 1332 continuous? 29. g(x)={x2x6x3,x35,x=3 Problem 30E: At what points are the functions in Exercises 1332 continuous? 30. f(x)={x38x24x2,x23,x=24,x=2 Problem 31E: At what points are the functions in Exercises 13– 32 continuous?
31.
Problem 32E: At what points are the functions in Exercises 13–32 continuous?
32.
Problem 33E: Limits Involving Trigonometric Functions Find the limits in Exercises 3340. Are the functions... Problem 34E Problem 35E: Find the limits in Exercises 33–40. Are the functions continuous at the point being... Problem 36E Problem 37E Problem 38E Problem 39E: Find the limits in Exercises 3340. Are the functions continuous at the point being approached?... Problem 40E Problem 41E: Continuous Extensions
Define g(3) in a way that extends g(x) = (x2 – 9)/(x – 3) to be continuous at... Problem 42E Problem 43E: Define f(1) in a way that extends to be continuous at s = 1.
Problem 44E Problem 45E: For what value of a is f(x)={x21,x32ax,x3 continuous at every x? Problem 46E: For what value of b is
continuous at every x?
Problem 47E: For what values of a is f(x)={a2x2a,x212,x2 continuous at every x? Problem 48E Problem 49E: For what values of a and b is
continuous at every x?
Problem 50E Problem 51E Problem 52E Problem 53E Problem 54E: In Exercises 51–54, graph the function f to see whether it appears to have a continuous extension to... Problem 55E: Theory and Examples
A continuous function y = f(x) is known to be negative at x = 0 and positive at... Problem 56E Problem 57E Problem 58E Problem 59E Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E Problem 75E Problem 76E Problem 77E Problem 78E Problem 79E Problem 80E format_list_bulleted