Find f(2) Is f continuous at x = 2? Explain your answer.

Q: Describe the interval(s) on which the function f(x) = is continuous.

A: The given function fx=xx2+x+2 is in gxhxform. The numerator gx=x is continuous for all x∈-∞,∞ in its…

Q: Determine whether function is continuous and/or differentiable at x = 1. f (x) = 1/x

A: Consider the given function fx=1x

Q: What three conditions must be met for a function ƒ to be continuous at the point (a, b)?

A: Continuity at points: The points of continuity are the points where a function exist and has some…

Q: is the function f(x) = 1/(x-2) continuous on [1,3]? Justify your answer.

A:

Q: Use the graph to answer the question. Is f continuous at x = 0? %3D -4- -5- 2.

A:

Q: Use the graph of the derivative f' of a continuous function fis shown. (Assume f' continues to o.) 4…

A: A function f(x) said to be concave upward in an interval for which f"(x)>0.

Q: What is the domain of the secant function?

A: Secant function , Sec xWe know        Sec x=1cos xTo find domain Put cos x=0

Q: ( 2x -. Is g(x) continuous at 2?

A:

Q: Why does the Mean Value Theorem not apply to the function f(x)=x^(1/2) on the interval [-1,1]?

A: Mean value theorem can be applied on a function f(x) in [a,b] only when the function f(x) is…

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

A: Please note that differentiability is the third stage in the function investigation. First we need…

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

A: Given,

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) Sx²…

A:

Q: Determine where the function f(x) is continuous.

A: The given function is , fx =x-8

Q: What does it mean for a function to be right-continuous at a point?

A: A function f is right continuous at a point c if it is defined on an interval [c, d] lying to the…

Q: x² + 1, if x < 1 3x, if x 1 is f(x)continuous at x = 1? Explain. 16 If f(x) %3D

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Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Which of the following functions are continuous? Why do you think they are continuous?

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Q: where is the function f(x)= llxll-2 continuous (or discontinuous)?

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Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: A function is said be continuous on an interval if it is defined at all the points in that…

Q: What does it mean for a function to be left-continuous at a point?

A: function to be left-continuous at a point?

Q: Describe the long run behavior of f(x) = x* As x → ∞, f(x) → ? As x → 0, f(x) → ?

A: This question is about function behaviour near infinity

Q: Is the function given by f(x)=x^2+3x/2x-1 continuous over its domain?

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Q: Describe the intervals on which the function is continuous.

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Q: Determine where the function f(x) is continuous. f(x) = /2-x

A: We have to determine where th function f(x)=(2-x)^(1/3) is continuous

Q: When can we say that a function is continuous at a number?

A: To explain: The continuity of a function at a point.

Q: X- e.

A:

Q: Determine f ″ ( x ) for f(x) = sec x

A: Given function: fx=secx

Q: Please show all work:  Is f(x)= x2+3 continuous at x=1? Why or why not? (A rigorous mathematical…

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Q: Find the x-values at which f is differentiable. (Enter your answer using interval notation.)

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Q: Find continuous functions

A: Given,        fn:0, 1→[0, ∞)

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Find interval where f is decreasing

A: From the graph from t = 0 to t = 2   ;          f = 2 from t = 2  to t = 4   ;          f is…

Q: find domain of Function composition f(x)=,

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Q: | Compute the value of f(0) when f(x) = |æ|. Explain why f cannot b (iii) 1 f.

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Q: Does the Mean Value Theorem apply to f(x) = |x – 7| on the interval [1, 9]? Explain.

A: No

Q: Which derivative of f tells us whether the function is increasing or decreasing?What do we check to…

A: Given function ,  f(x) = ln ( x2 + 2x + 5)  Find interval of increasing and decreasing .

Q: find the value of c that make the function continuous

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Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: The given function is f(x) =xx2 + x + 2. The main objective is to find the interval in which fx is…

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: Given the function  f(x) = (x + 3)/√x we need to find the interval on which f(x) is continuous. As…

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: A continuous function is a function having a smooth graph without any discontinuity. The…

Q: -4

A: Function f is differentiable at x=a if and only if f'(a) exists. f'(x)= (2/5)(x-4)^(-3/5) f'(x) is…

Q: 4. For each part, find a real value c that makes f continuous at x=0, if possible. If not possible,…

A: A function is continious , when at that point limit of the function exists , and thatlimit is equal…

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: The function is defined when x+1≥0. Therefore function is defined in the interval -1,∞.

Q: Is the function continuous or not? If not, what condition is not satisfied? Present solution

A: A function fx is said to be continuous at a point at x=c if 1. fc is defined and exists 2.…

Q: Describe the x-values at which f is differentiable f(x) = √(x + 1) + 1

A: We have to describe the x-values at which f is differentiable fx=x+1+1. We know that a function f is…

Q: Determine whether the function is continuous at the given point. Show your solution. h(x)=csc(x) at…

A: Given: h(x)=csc(x) x=π To determine the continuity of the function determine the limits

Q: Determine where the function f(x) is continuous. f(x) = Vx- 8 The function is continuous on the…

A: fx=x-8 The domain of given function is the set of all values of x for which x-8≥0⇒x≥8⇒x∈[8, ∞) Let c…

Q: Suppose fx) is continuous on the interval [0,10] and that f(x) = 0 only when x = 4. If f(5)< 0, what…

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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.