Where is the function f(x) = if x < 0 et discontinuous? Is this a x2 if x > 0 removable discontinuity? Is it a jump discontinuity?

Q: im (x²-C² if X<4 1 f(x) = {(x+5 x²-c² (x + 5 if x = 4 lim

A: Given:-x2-c2   if x&lt;4cx+5    if  x≥4f(x) is continuous at x=4solution:-if f(x) is continuous at…

Q: Find the points of discontinuity of the function f(x)={1−x2,x&lt;0x+2,x≥0 if they exist.

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Q: How do you determine the absolute maximum and minimum val-ues of a continuous function on a closed…

A: How do you determine the absolute maximum and minimum values of a continuous function on a closed…

Q: ,x 1 Is the function k(x) = {x²-1 2,x = 1 continuous at x = 1?

A: We use L' hospital rule to find the limit.

Q: Find the points of discontinuity of the function f(x)=arctan1x if they exist.

A: The given function is not defined at x = 0. Now the left hand limit at x = 0 is, And the right hand…

Q: The function y = 1/x does not take on either a maximum or a minimum on the interval 0 &lt; x &lt; 1…

A: Extreme Value Theorem:If a function f(x) is continuous on a closed interval [a,b], then f(x) has…

Q: 2. Is the function given by f(x) = 3x - 2 continuous at x = 5? Why or why not?

A: Is the function given by f(x) = 3x - 2 continuous at x = 5?

Q: Find two paths of approach from which one can conclude that the function has no limit as (x, y)…

A: Let X2=mY , where 'm' belongs to set of integers. And here we have taken a parabolic path .

Q: 7. Is the function given by G(x) at x = 2? Why or why not? 1 x² - 6x + 8 continuous

A: Theory : If A function f(x) is continuous at some point a, then it must satisfy All of these…

Q: Is there an unbounded function f:[0,1] →R where it is discontinuous only at a single point in [0,1…

A: f: [0, 1] →R Domain: [0, 1] The function is discontinuous at a single point of the domain.   Let's…

Q: show that the function has neither an absolute minimumnor an absolute maximum on its natural domain.…

A: Given Data The function is y=1-eˣ/ eˣ+1.   Differentiate the function y=1-eˣ/ eˣ+1 with respect to x…

Q: The function f(x)=(x)/(x-1) is discontinous at x=1 because

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Q: Show that the function f(x) = K. when xw0 when xois discontinuous at x = 0.

A: Solution

Q: At what x-value is the global minimum for f(x)=x2−4x+3 within the interval  0≤x≤5?

A:

Q: Let f be a continuous function with f'(x) = 3x² Of has no relative maxima. 0x=0 0x=2 0x=1 - 6x. At…

A: f be a continuous function with f'x=3x2-6x

Q: when x # 1 Show that f(x)% = 2 when x =1 is discontinuous at x 1

A: Given query is to find the continuity of the function at x = 1.

Q: If a function contains a “jump,” occurring at a certain x value, then can the function be…

A: No function is not continues at this x.  Because function has jump discontinue at this x.

Q: 10 if x c - everywhere then: С —

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Q: Give an example that: the function f has a local maximum at x = 1/2, but it is not differen- tiable…

A: Consider the function:

Q: Suppose that f ‘(x) is negative for x 1. Does f have a local minimum or maximum value at x = 1?

A: The answer is 'YES' Let see how it is YES in next step.

Q: At what value of x is f minimum?

A: To find: The value of x for which f is minimum. Calculation: It is observed from the graph that the…

Q: Is the function given by g(x) = x²-3x continuous at x = 4? Why or why not?

A:

Q: 2. Shows that the function f(x)- x2-9 is continuous at x = 0, but has removable x-3 discontinuity at…

A: This question is taken from the limit in which we have to check the continuity at x=0 of the given…

Q: Use the e - S definition to show that the function x- 1 f(x) = x +2 %3D is continuous at x = 3.

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Q: b- find any locl maximum and locl minimum values by using first derivative: f(x)=x-2x²

A: We can use application of derivative order to solve the given problem.

Q: Prove that constant function is differentiable at ever x ER.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If f is a continuous, odd function and f(c) is a relative maximum, then f(-c) is a relative minimum.…

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Q: Find the global maximum and global minimum of the function f(x)=sinx−x in the interval [−π,π].

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Q: show that the function has neither an absolute minimumnor an absolute maximum on its natural domain.…

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Q: Show that if the graph of a twice-differentiable function ƒ(x) has an inflection point at x = a,…

A: Find the reason why the tangents lines fit well at the inflation points

Q: Suppose you are working with a function f[x, y] and you find that f(¹,0) [x, y] ƒ[1, 0]? Why or why…

A: Given: A function fx,y such that f1,0x,y&lt;0 for all points x,y.   To determine: Whether…

Q: b- find any locl maximum and locl minimum values by using first derivative: f(x)=x*-2x²

A: Points of local extremum can be calculated by using the first derivative. These are points which…

Q: Estimate the absolute maximum value of the function y = x3x-x to two decimal places on the interval…

A: Please see the explanation below

Q: How must f(0) be determined so that the function f(x) = x2-x ニー x0, is continuous x-1 at X= 0?

A: Let f be a real function . Let a be any point in its domain . If limx→afx exist and equal to fa Then…

Q: 2. Suppose that f (a, b) is an absolute maximum of the function f(x, y). Must f (a, b) also be a…

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Q: What are the maximum and minimum values of the function y = | x | on the interval -1 ≤ x &lt; 1?…

A: Use the graphical approach to determine the maximum and minimum values of the function y = | x | on…

Q: 3-The function f defined by 2. Is f is Continuous at x=| ?

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Q: Find the value k that makes the function continuous. Ska², f (æ) = x > 2 kx + 12, x < 2

A: Topic - continuity Function is continuous If its left hand linit is equal to right hand limit and…

Q: Consider the function fcx) = (メフチ 5 E- xet X if x >5 if メ=5 5-X S> X f! Is fe) continuous at x=5?…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Sketch the graph of a differentiable function y f(x) through the point (-2,2) if f'(-2)=0 and…

A: Given: To sketch the graph of the differentiable function function y=f(x) through point (-2, 2) if…

Q: Find the value of K that makes 4-x2 f(x) = {2-x if x # 2 2K if x = 2 continuous at x = 2 ?

A: Find the value of k

Q: Answer the following True or False: For every continuous nonlinear function, you can find a value of…

A: To states whether true or false. For every continuous non linear function, there is a value of x…

Q: A continuous function, h(x) has a local maximum at (2, 3). What is h’(2)?

A: We have given that h(x)  is a continuous function and has a local maximum at point (2,3).

Q: Find and classify the critical points of the function f(x, y) = x³ – 10.5æ? – y? + 5 - -

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

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Q: f(x)=√√x at x = 7

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Q: Use the First Derivative Test to classify each critical point of f(x) = x^4 − 8x^2 + 3 as a local…

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Q: defines 2 as y. y- cos (3x2) = 5 a function of x and • differentiate implicity to find az ду

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Q: What is the x-coordinate of the global minimum of the function f(x) = x – 3 ln x – 2 for the…

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