Determine the values of x where the function f (æ) is not continuous. Label each discontinuity as removable, jump or infinite. x + 2 x < 2 f (x) = x +1 x > 2

Q: (1-4x, if x -2 f (x) = { 1+4x, if x >-2

A: Given : piecewise function. To find: f(-3) =  f(-2) =  f(1) =

Q: Find the domain and range for the following function; y = -V1 - x2

A: Explanation Given that,  y=-1-x2     Concept Used: Domain: Domain is the set of all real numbers…

Q: Find the domain of the following function. Give your answer in interval notation. Provide your…

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Q: At which point/s (value/s of x) is the function neither continuous nor differentiable? DO NOT…

A: see below the answer and explanation

Q: Give two points, as ordered pairs, that are not in the domain of this function.

A: Domain: A set of values for which the function is defined is called Domain of the function. So the…

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

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Q: What is the end behavior and removable discontinuity of the function y= x-4/3-2x ?

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Q: If possible, represent y as a differentiable function of x.                                    a. x2…

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Q: Classify the discontinuities in the following functions at the given points. x? - 7x + 10 f1x2 ;x =…

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Q: 10. Find y" for each of the given functions. a. y= -3x³ + 4x=2 b. y = x2 + 7x5 + 9x

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Q: x2 + x – 2 At which value of x does the function f(x) have a removable x3 – 3x2 + 2x -…

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Q: Use the piecewise-defined function to find the following values for f(x). 1- 4x if xs - 2 f(x) = 4x…

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Q: Which function has a domain of x2 4? A. y= Vx+ 4 C. y = Vx+ 4 B. y= Vx- 4 D. y= Vx- 4

A: Domain of the function

Q: Find the domains and ranges of the following functions

A: As per the bartleby guidelines for more than one part only one has to be solved. Please upload the…

Q: (x(x+1), if x S-2 f (x) ={ 4x +5, if -2< x<1 - 2x +3, if x 2 1

A:

Q: B. INSTRUCTION: Graph the following piece-wise function 1. r(x) = (x - 1, - Isıs, x< - 1

A: 1) f(x) = x -1      x-1 =0,      x=1

Q: x-4 5. f(x) = 2x3-4

A:

Q: . Determine if y is a function of x in x = y? + 5.

A: Given equation - x = y2+5Let's solve for y =- y2 = x-5y = x-5       ........(1)

Q: Sentify whether the following relation is a function or not. 11) y=-9x-7 12) ytvi 13) y x- Zr +1 14)…

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Q: Find the interval in which the following function is positive: 3. -1 1 2 3 6 -1 -2 -3 4)

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Q: 2. Sketch the graph of following functions -1 a) y = x(x-5) b) y -3 (x+3)² +++++

A: The given functions, a) y=-1xx-5 b) y=-3x+32. We have to sketch the graph of the functions.

Q: Which of the following relations is NOT a function? y = (x+2}° y =tVx 8 y x-3 y = 2"

A: The objective is to find which relation is not a function.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.