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Q: Suppose that f is an odd function; i.e., f(-x)=-f(x) for all x. Suppose that f'(xo) exists. Which of…

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Q: Find f(2021), if function f satisfy next conditions: f(1) = 1 f(x+y) = f(x) + f(y), for every x,y…

A: The function takes the initial value f(1)=1. First given condition on the function is…

Q: Suppose that the function f is defined on the interval (-2, 2 as follows. -1 if-2<x<-1 if -1<x<0…

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Q: f(x)= {x^2-99,  x11}

A: For f(x) = x2-99, The limit of x approaches 11 from left is,   For f(x) = 2ax, The limit of x…

Q: Below is the function f(x). 7- to 4 -7 -6 -5 f4 -3 -2 -1 1 2 3 4 5 6 -2 -3 -4 -5 -- =7 Over which…

A: For a given function , f'(X) represents the change in function value over a small interval. So, If f…

Q: Find the numbers at which f is discontinuous. Show your work like in Example 34 from x2, x4

A: As per our company's guideline, we need to answer only one question at a time. Please repost the…

Q: x² -x-2 Is the function f(x) : Fcontinuous at x = 2? Why or why not? x-2

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Q: A function f is said to have a removable discontinuity at (a) if:1. f is either not defined or not…

A: We have to factor the numerator  At x=3 both of the numerator and denominator are zero, so we get…

Q: For all x in the domain of f, f(-x) = f(x) Functions with this property are even functions Verify…

A: Note: in the above image, we have sum total of two questions which are the following.  (i)     (ii)…

Q: Suppose that f(x) = 2 for x &lt; 3 and f(x) = -4 for x &gt; 3. (a) What is f (3) if f is…

A: For x&lt;3,f(x) = 2For x&gt;3,f(x) =-4Part (a) - f(3) = ? when f(x) is left continuous.f(3) =…

Q: Determine if f is continuous at x 9 from the right. [5x² f(x) = 3x-27 if x <9 if x29

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Q: Consider the following function and closed interval. f(x) = x3 - 4x2 – 16x + 5, [-4, 4] Is f…

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Q: Determine whether Rolle’s Theorem can be applied to f on the closed interval [a, b]. If Rolle’s…

A: fx=3-x-3,  0, 6 The given function is continuous in the interval 0, 6. But it is not differentiable…

Q: Determine whether the below function f is continuous or discontinuous at a =-3. If f is…

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Q: Which of the following family of functions are not known to be globally continuous (ie, contin- uous…

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Q: Define f: R-&gt;R as follows: f(x)=x-[x] if [x] is even. f(x)=x-[x+1] if [x] is odd. Determine those…

A: To find the points where the given function is continuous.Take two cases:Case 1: Let x = a is an…

Q: a. Determine if f is continuous or discontinuous at r 0 and at e = 3. If dis- continuous, classify…

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Q: Determine if the piecewise function is continuous at a. x-3 x + 3 f(x) = 1, x-3 a = 3 x = 3 O Yes,…

A: Topic- limit

Q: Determine whether f is continuous or not at x = 2. Justify your answer and state your conclusion.…

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Q: 1. Find the x-values (if any) at which f is not continuous. Which of the discontinuities are…

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Q: Determine whether Rolle’s Theorem can be applied to f on the closed interval [a, b]. If Rolle’s…

A: Determine whether Rolle’s Theorem can be applied to f on the closed interval [a, b].

Q: How would you "remove the discontinuity" of f? In other words, how would you define f(2) in order to…

A: Given : fx = x2-x-2x-2

Q: 3. Determine whether f is differentiable or not differentiable at 1. (x – 1 if x > 1 (-x² _if x <1…

A: If a function is differentiable at any point x=a ,then its L.H.D. =R.H.D.

Q: The function is said to be in this value if f(xo) 2f(x) for all x in an open interval. O Relative…

A: Given that: f(x0)≥f(x)

Q: Suppose that f :C → C is integer and that ƒof = f. What can you say about f ? Justify your answer.…

A: Please find the answer in next step

Q: 2. Find the numbers at which fis discontinuous. At which of these numbers is f continuous from the…

A: The given function is f(x)=x3+1  if x≤13-x   if 1&lt;x≤4x     if  x&gt;4 We will check the…

Q: Consider the function f with domain (-2, ∞): 3|22 – 1| if – 2 < x < 1 2x2 + 2х — 4 f(x) = 3 if x = 1…

A: Solution is given below:

Q: Show that if f is both even and odd, then f(x) = 0 for every x in the domain of f. %3D

A: Use the defination of a function for to be odd and even.

Q: (2) of the function f(x) such that F(1) = 4. Preview

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Q: Show that f(x) has a removable discontinuity at x = 0 and determine what value for f(0) wou make…

A: Given that ,  fx=9x+-8x+9xx-1if x≠0 and x≠13if x=0 We know that, A function fx is said to have…

Q: х — 3 - 40. f(x) x2 – 9 - x + 2 41. f(x) x2 — Зх — 10 - - x – 1 x2 +х — 2 - 42. f(x)

A: To find The x values at which the function is discontinuous

Q: Find the numbers at which the function is given   is discontinuous. At which of these points is f…

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Q: Suppose that f(x) is a continuous function on the interval [2, 6] with f(2) which choice best…

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Q: Which of the graphs of f(x) below have the following properties? • f (x) > 0 on (b, d) and (g, ∞) •…

A: we know that when the derivative of a graph is greater than zero then the graph of f(x) increases…

Q: х+ 2 if x 1 et -

A: Explanation of the solution is given below...

Q: Consider the following. f(x) = x - 51 X-5 Find the x-value at which f is not continuous. Is the disc…

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Q: 1-→Proof-that-this-function-is analytic Fla)=z1

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Q: Identify any a-values at which the absolute value function f(x) =7|a + 5], is not continuous: a=…

A: NOTE: Refresh your page if you can't see any equations. . here we have no undefined point  so the…

Q: Find the numbers at which f is discontinuous. At which of these numbers is f continuous form right,…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Suppose f(x) is differentiable everywhere and f(-3) Show f(1) > -6 and f(-5) -2.

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: х* — 5х — 5 f(x) х - 8

A: Consider the graph for the function:

Q: B. Find all x values at which f(x) = 2-6-16 is not continuous. Identify the removable x+2…

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Q: a) Evaluate f at x = -1,0, and 5. If not defined, explain. {ogentsY

A: We are given the function,                         .

Q: Show that f is a discontinuous function for all x, where f (x) is defined as follows: Show that f 2…

A: Here given function as fx=1for x rational-1for x irrational Also  f2x=fx·fx

Q: 6. For each of the cases, give an example of function f: Z → Z. Verify your examples. (a).…

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Q: Let f: Z---- Z and g: Z---- Z be defined as follows. In each case, compute (f 0 g)(x) for arbitrary…

A: Given  f:ℤ→ℤg:ℤ→ℤ composition of function is applying one function in the result of the other. Let…