About Lesson
12.5 Continuous Functions 连续函数
[1]
g(x) = ,
For each of the number 2 and 4, check whether is continuous.
对于数字2和4,检查其是否连续。
Answer:
2连续,
4不连续
[2]
State the range of f (x) = where f is continuous
试写出值域其中f 为连续。
Answer:
R \ {-1}
[3]
g(x) =
For each of the number 2, 3 and 4, verify whether is continuous.
State the range of g where it is continuous.
对每个数目 2,3和4, 检验其是否连续。
写出g连续的范围。
Answer:
2连续,3,4不连续;
(0, ) \ {4, 3}
[4]
Redefine the value of g(1) if g(x) = is continuous at x = 1.
重新定义 g(1) 的值若 g(x) = 在 x = 1 连续.
Answer:
3
[5]
Redefine the value of g(4) if g(x) = is continuous at x = 4.
重新定义 g(4) 的值若 g(x) = 在 x = 1连续.
Answer:
[6]
Find the values of a and b that make h continuous on R, where
求 a 和 b 的值,使得 h 在 R连续, 其中
h(x) =
Answer:
, 1