x=a a = -3 a=-1 1. Complete the table. Is f continuous at x = a? ГУЛ 1 0 1 AR X If it is not, which condition in Is f(x) left-continuous? the definition fails to hold? right continuous? or neither?

Q: Let f(x) = x – In x + 7. a. What is the domain of f? b. Find the derivative of f. c. Identify all…

A: the solution is following.

Q: 72. Is the function given by F(x) continuous on R? x- 5 3.

A: Given function is Fx=3x-5.

Q: 4 For what value(s) of x is the function f(x) 2x? - 6х NOT continuous? A. x = 0 and x = 3 B. x = 3…

A: To find- For what value(s) of x is the function fx = 42x2 - 6x NOT continuous? x = 0 and x = 3 x =…

Q: For what value of e is the function defined below continuous on (-∞0,00)? C= 9. f(x) = [cx + 1,…

A:

Q: Describe the interval on which the function below is continuous. X +4 f (x) = Vx %3D 10 y. 4. 21 B.…

A: topic - functions and continuity

Q: constant k is the functionf defined by if x +0 f(x) = V5- x - V5+x k if x = 0 continuous at x = 0?…

A: On putting limit x tends to 0 when condition of not equality it becomes 0/0 form . So by…

Q: Determine whether f is continuous at a.

A:

Q: 1 65. Is the function given by G(x) = continuous бх + 8 at x = 2? Why or why not? 2.

A: To check the function G(x) = 1x2-6x+8 continuous at x = 2. G(x) = 1x2-6x+8

Q: 51. Is the function given by G(x) 1 continuous at x = 0? Why or why not?

A: Given: Gx=1x To check whether the given function is continuous at x=0

Q: 1 = x² +1 1. Use the ed definition to prove that the function f(x) = (a) continuous at x = 0. (b)…

A:

Q: Is f continuous at x = 4? (2.0) 1 2 3 4 5t -5 4 -3 -2 -10 Yes O No

A: We have to check whether the given function f(x) is continuous at x = 4 or not.

Q: For what value of k is f(x) continuous at x=3? f(x) = (x-1)(x-3) 9-x² 3k, x=3 " x!= 3 (when x is not…

A: f(x)={(x−1)(x−3)9−x2,x!=3( when x is not equal to 3)3k,x=3

Q: Answer the question. x2+1, -1sx<0 0<x<1 5x, f(x) = -3, x = 1 -5x + 10 1<x<3 4, 3<x<5 d -6. 6.S... L…

A: Topic:- function and it's continuity

Q: Let f(x)=x²+2x if x<5 - Cx if x 25. For what value of the constant c is the function f continuous on…

A: We have to calculate the value of c

Q: True or False?: If f"=0 for some c, then f will have a point of inflection at c. Explain

A: Given the statement " If f"=0 for some c, then f will have a point of inflection at c ". We need to…

Q: Vhich of the following best describes the function below? S (x) = * -4 ifx<2 |Vx-2 if 2sx A.…

A:

Q: Determine the signs of f' and f" for each of the intervals. y = f(x) A Bc'D'E'F'G

A:

Q: At x = -2 the function y = false O true 5 is differentiable but not continuous.

A: Any differentiable function is always a continuous function. However, a continuous function doesn't…

Q: Q5. Explain why f(x) is not continuous at a. x2 - 25 f(x) = x + 5 if x #-5 a = - 5 if x =-5

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Q: H.W Ex 2: Determine if the f(x) is continuous at x 3 ? at x-3 f(x) =- x²+2 at x 3

A: Given query is to find f(x) is continuous or not at x = 3.

Q: II. Consider the function x<-2 -2 sxS1 1<x x+2 Determine if f(x) is continuous over the given…

A: