Show that the absolute value function is continuous at x = 0. 2. Show that the signum function is discontinuous at x = 0.

Q: Show that the function f(x) is constant for x > 0.

A:

Q: x+5 4. f(x) = %3D x2-5x+4

A:

Q: Find where the function is continuous, but not differentiable..

A: Given,

Q: Describe the behavior of the function as x approaches zero. f(x)=(|x|/4)sinx a. f--> +infinity as…

A: limx→ 0x4sinx use direct methodlimx→ 0x4sinx=04sin0limx→ 0x4sinx=04x0         (sin0=0)limx→…

Q: 6x if x 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. State where the function below is continuous using interval notation. if x<2 4 f(x) = 3 if x 2

A: To check whether the given function is continuous using interval notation.…

Q: X-2 f(x)3D x2+x-30

A: In the given question a function is given and we have to find point of discontinuity of the…

Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)…

Q: Determine whether the function is differentiable at x = 2.

A: The given function is fx=x2+1,x≤24x-3, x&gt;2. Sketch the graph of the above function as shown…

Q: x2 + 1, хS 2 4х - 3, х> 2 89. f(x) = %3D

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Q: Give the graph or the formula of a function that is continuous but not differentiable at x=0.

A:

Q: 7+6z – zº x 4 тх + b,

A: Given that,    A function is continuous everywhere means the function is continuous at every point…

Q: 5. Find the domain of the function: y = In () x-4

A: y=lnx-1x-4