√√-x-6 if x < -1 Let g(x)=2x-3 if-1

Q: 15. Discuss the continuity of the function f (x) = x²-4. x-2

A: To find the continuity of function we need to find the domain of function

Q: Explain the differences between continuity and uniform continuity when f(x)=3x+7 shown on graph…

A: See the attachment

Q: For what values of a and b is the function f continuous on (- 00,00)? (Write only the values of a…

A: For what values of a and b the function f continuous on -∞,∞            a-3x     if x&lt;-1f(x)= 4a…

Q: The function is discontinuous at x= -4. At this point, is f continuous from the right, left, or…

A: A function f is said to be right continuous at a point a if it is defined on an interval and if…

Q: Explain the differences between continuity and uniform continuity when f(x)=3x+7 shown on graph…

A: Answer

Q: Find the value(s) of a and b for which f is continuous at -2: 3x³ - 7x² + 7 if x -2 f(x)

A: To find the values of a and b for which f is continuous at -2.fx=3x3-7x2+7 if x&lt;-2a+b if…

Q: Is the following function continuous at x = 2? Explain why or why not. x2 +x – 6 - :x > 2 f(x) = x –…

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Q: Use calculus techniques and algebra to analyze and sketch the graph of 4 ƒ ( x) = x³+x+ ÷. X A)…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: 7x – 1 Determine in which interval(s) the function h(x) is continuous. Justify %3D x2 +1 your…

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Q: Find the endings for the following functions zX-5 3 @ lim - V-X-2 X -3 X +3 a lim 2- x* 1.

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Q: Q3) Test the continuity of the function f(x): -15x <0 0S X< 2 F(x) = 2х— 1 x+ 3 X = 2

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Q: What are intervals of concavity of the function f(x) = -2x + 6x² – 3 ? a. Concave upward on (-1, o0)…

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Q: e3-6-2, if x 3 = 3. 1. Determine if f is continuous or discontinuous at x = 2 and x =

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Q: 2 + 7x if x < 4 Let f(x) if x 2 4. For what value of the constant c is the function f continuous on…

A: Given function is: fx=cx2+7x       if x&lt;4x3-cx          if x≥4 We know that a function is…

Q: Determine the intervals on which the function f(x) = x (x2 - 175) is increasing or decreasing. 1/3…

A: Given function, fx=x13x2-175 Function f(x) increases where f'(x)&gt;0 Function f(x) decreases where…

Q: what valu e shouled be assigneed to a to make the function fex)= %3D 2ax

A: For the function to be continuous, the necessary condition is LHL=RHL=f(3) Here,  LHL=limx→3-f(x)…

Q: Investigate the continuity of the function at x=3. S-2x +4 if x23 f(x)x-1 fx<3 At x3

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Q: Study the continuity of the following functions and show the process of how you tell if it is…

A: Here is the full solution for both Parts: To study the continuity of the functions provided in the…