1. The function(x)=x-1 has a discontinuity, say where and justify the response. Classify the discontinuity as essential, removable, or infinite. If the discontinuity is removable, rewrite the function so that it is continuous at all reals

Q: (9 pts.) Determine if the following function is continuous at x=-2. If not find the type of the…

A:

Q: f:R - R S6 – x2 x 2 1 x < 1 fx 4x + 1 x=1, x= -1-

A:

Q: f(x) = x + 1 √x

A: Given data

Q: Determine the points of discontinuity. State the type of discontinuity ( removable, jump, infinite,…

A:

Q: Prob. 5 (a) () Find all points where f is discontinuous. Classify these points (if any) as removable…

A:

Q: If f(z) <0 for all real numbers z then f is decreasing on (-o, 00) Select one: O a. False O b. True

A:

Q: Determine whether the following function is continuous at the given point x = 6: x2 8x + 12 - x + 6…

A:

Q: When a function is discontinuous at x=2, does that necessarily mean that 2 is not in the domain of…

A:

Q: The function f(z) is analytic if

A: analytic functions are functions which are locally given by the convergent power series. i.e any…

Q: Explain why a function with a removable discontinuity is not differentiable at that discontinuity

A:

Q: Analyze the continuity of the following function f(x) = 4x + 10      0 ≤ x ≤ 15 at the point x=8

A: The answer is given below:

Q: x + 20 g(x) = { 3Cx + K if – 2 < x За — 2K if x < -2 | if 1 < x -

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Explain if the function is continuous or not for the given number a. if x > 1 f(x) = {1 if x = 1…

A: topic - limits and continuity

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: a. Use the definition mtan = lim x→a a. mtan = b. Determine an equation of the tangent line at P. c.…

A:

Q: Find the discontinuities of the function f(x) = discontinuity and redefine if removable. x-1 ex x >…

A:

Q: Assume that the relation x = √500+ 5y² defines y implicitly as a function of x. Determine y" as a…

A: