Interval Notation: ( (-∞ ,-2)∪ (-2,2)∪ (2,∞ )) Set-Builder Notation: ( \(x|x≠ 2,-2\)) Since the domain is not all real numbers, ( f(x)=1(4-x^2)) is not continuous over all real numbers. Not continuous反馈
In this case, there is no real number that makes the expression undefined. Interval Notation: ( (-∞ ,∞ )) Set-Builder Notation: ( \(x|x∈ ℝ\)) Since the domain is all real numbers, ( f(x)=((x+2x^3))^4) is continuous over all real numbers. Continuous...
Find the limit and determine if the function is continuous at the point: \lim_{x \rightarrow 8} \sin(x \sin^2(x) + x \cos^2 (x)+ 2) Determine the interval(s) on which the function f(x ) = e^{ \sqrt{x-1...
If the function is not defined, or the value of limit doesn't exist, then we can say that the function is discontinuous. If both the values are defined and are equal to each other, then we can say that the function is continuous at that point. ...
Determine if the function f(x) = absolute of (4 - x^2) is continuous at the point where x = 2. Determine the set of points at which the function F(x,y) = \frac{1+x^2+y^2}{4 - x^2-y^2} is continuous. Determine the value of A...
f(x)=(cases) 2x&(if)&x<3 9-x&(if)& x≥3 (cases) 相关知识点: 试题来源: 解析 continuous 结果一 题目 Determine whether is continuous at x=3. If discontinuous, identify the type of discontinuity as infinite, jump, or removable. 答案 discontinuous; removable 相关推荐 1Determine ...
【题目】Determine the set of points at which the func tion is continuous.f(x,y,z)=√(y-x^2)lnz 相关知识点: 试题来源: 解析 【解析】 Vy-22 is continuous on its domain ((x,y)|y-x^20)=((x,y)|yx^2 }and Inz is continuou s on its domain {z|z0}, so the product f(x,y...
Consider the function real valued function f(x) such that {eq}f(n)=a_n{/eq} for all values of n. If f is continuous, positive and decreasing on the interval {eq}[1,\infty) {/eq}, and furthermore {eq}\int^{\infty}_{1}f(x)dx {/eq} is c...
Determine if the given function is continuous. f (x) = {x + 4} / {x^2 + 3 x - 4} Determine whether the function is continuous. g(x) = 3x/x+2 Determine whether the function is continuous. h(x) = 4-2x. Determine whether the function f(x) = \frac{1}{x-5} is continuous...
Determine if the function f(x) = \left\{\begin{matrix} 1/x & x \neq 0\0 & x = 0 \end{matrix}\right. is continuous at x = 0 and x = -1 Determine whether the function f(x) = \sqrt{x-4} is continuous at a=2.