if x <1 x – 1 | f(æ) = T In x -) if1

Q: Analyze the following graph of f(1). Over what interval is f concave up? 2

A: Consider the given graph:

Q: f : A → B and g : B → C are functions such that g ◦ f is surjective, then f is surjective. (ii)  If…

A: Introduction: A function f (from set A to B) is surjective if and only if there is at least one x in…

Q: q). State the equations of the horizontal asymptotes. r). State the equations of the vertical…

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Q: Let f be the function defined above, where k is a constant. f(x) = x²+kx-2 3x²+4x+3 x³ + 2 0 2e 2-e…

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Q: Determine if the function is continuous or not (using the definition) at the given z value. Then,…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Give an example of each of the following. You don’t have to prove your answers. a. A surjective…

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Q: Find the following limit for f(x) = 7 - 2x: lim h-0 a b с d 7 -2 0 does not exist - f(4 + h) = f(4)…

A: The given function is f(x)=7-2x We have to find the limh→0f(4+h)-f(4)h.

Q: A. Consider the function defined by [x² +1, if x<5 f (x)={ |6x– 4, if x25 a. Is f continuous at x =…

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Q: Given a surjective function ? ∶ [−1, 1] → [−1, 1], prove or disprove: ? −1 (? {0}) = {0}.

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Q: Let the function f be defined as follows. x² x - 20 x = 5, 10, x = 5 Which of the following…

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Q: f is also constant

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Q: The following is the graph of f(x) on the domain [-3,2]. If f(x) = 2, then A) x = -1.5 or x = 0.5.…

A: Given : Graph of f(x), Domain of f(x) : [-3,2], f(x) = 2.   To find : value of x at f(x) = 2 ?…

Q: For each of the pairs of functions f and g, determine whether (f o g ) is well defined, that is the…

A: We have to check that wheather (f○g) and (g○f) are well defined or not . Then find the value of…

Q: . Let f RR be defined by setting f(x) = x if x is rational and f(x) = 0 if x is irrational. Use the…

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Q: 3. Consider the function f(x)-", where n is an odd, positive integer. a. Ifk <0, sketch the graph of…

A: hello there I see there are two questions mentioned in the image. According to our policies can…

Q: If the limit definition of a derivative can be used to find f′, thenwhat is the purpose of using…

A: The geometric meaning of the derivative  f'x=ddxfx is the slope of the line tangent to y at x…

Q: Which of the following is TRUE?   a. All functions has limits. b. If a function is discontinuous at…

A: a. All functions has limits. b. If a function is discontinuous at a certain number "a", it is always…

Q: Prove the following properties for even and odd functions. a) (Even)(Even)=Even

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Q: Choose whether the following statement is true or false. (-)= If a function f(x) = 0 at x = 1, the…

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Q: Is the function given below continuous/differentiable at x = 3? %3D -3x + 2 x 3

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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.