Suppose that: ={26 3 for x 7 for x 7 f(x) Determine f(7) if f is right-continuous at x 7. (Give your answer as an exact number.) f(7)

Q: If F is a continuous on the set of real numbers, then (A True (B False

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Q: Suppose f(x) = 4nx2e Ax* for all x E R. Show that f = -f. %3D -e

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Q: Assume whether the function graphed in the accompanying figure is continuous on [-1,3]. y = k(x) 2 3…

A: for being a contrinuous function this condition should be satisfiedlimx→a-f(x)=limx→a+f(x)=f(a)from…

Q: Define f(x) = (x2 - 81)/(x - 9) at x = 9 so that the function becomes continuous at 9.

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: 2. ASSUME f(x) IS CONTINUOUS AND DIFFERENTIABLE ON AN OPEN INTERVAL AS GRAPHED. WHICH OF THESE…

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: Consider the following. f(x)= -(-3x, X ≤ 6 X > 6 x² - 4x + 9, Find the x-value at which f is not…

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Q: Define f(x) =(x2 - 81)/(x - 9)at x = 9 so that the function becomes continuous at 9.

A: Given function is fx=x2-81x-9. To define function fxso that the function becomes continuous at x=9.…

Q: Find numbers a and b, or k, so that f is continuous at every point. 5) f(x) = 10x + 8,if x < -1 kx…

A: If f is continuous , solimx→-1-fx=limx→-1+fx

Q: Is it possible to determine f (7) if f (x) = 3 for all x &lt; 7 and f is right-continuous at x = 7?…

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Q: Consider the following. X + 5 x2 f(x) - X - 3O Find the x-value (if any) at which f is not…

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Q: Determine if the following function is continuous at x = 4. Show all steps by definition of…

A: This question is based on Continuity of function.

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: Write a delta - epsilon proof that shows that the function f(x) = 3x – 5 is continuous at æ = 2

A: Let ε&gt;0 be given. Also let 0&lt;δ&lt;min1,ε3. Then for x-2&lt;δ,…

Q: Consider the following. 2 f(x) = -x2 + 4 Find the x-values at which f is not continuous. Which of…

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Q: Find number k, so that f is continuous at every point. 3x+9, if x-6

A: Given,  fx = 3x+9   if   x&lt;-6kx+6   if  x ≥ -6  fx is continuous at every point, then we have to…

Q: If F is a continuous on the set of real numbers, then A True B) False

A: Note that we can take constant outside of an integration. So, the given statement is true.

Q: Let f(x) = (|x| + x2 − 1     if x ≤ 0          (|x| − x2 − 1     if x > 0 Is there some x in (−1, 1)…

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Q: Define the following real function: f(x) = 2 - x, x is rational and f(x) x2, x is irrational. What…

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Q: For what value of k will the function f be continuous on (-, ∞)? x2 - 81 if x + -9 f(x) = X + 9 k if…

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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: Suppose that f: R (0, ∞) and that f'(x) = f(x) ‡ 0. Prove that (f-¹)(x) = 1/x for x > 0.

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Q: Consider the following. f(x)= x-5 / x2+3x-40 Find the x-values at which f is not continuous. Which…

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Q: (b) Redefine f(4) so that f is continuous at x = 4 (and thus the discontinuity is "removed"). f(4) =

A: The given function is: f(x)=x2-12x+32x-4

Q: 1. Determine where each of the following functions are continuous. x2 - 3x - 10 a. f(x) = %3D x2 -…

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

Q: Suppose that (picture) If f is  continuous for all real numbers, then c is equal to:

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Q: Let f be given by x² – 4 if x 3 - 2х — а +b Determine the values of a and b that make ƒ continuous…

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Q: Let f(x)= 1 Use a 8- e proof to show that f is continuous at x = = 2. X-1

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Q: Consider the following f(x)= 2/4-x2 Find the x-values at which f is not continuous. Which of the…

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Q: 14. Explain why there is no value of k that will make the following function continuous. 5x, if x 3…

A: Given that: f(x)=5x,   if x&lt;-1x+k,    if -1≤x≤32x2  ,   if x&gt;3

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the function,fx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3

Q: If f(x) =x²-x over x-1 and g(x) =x is it true that f=g?

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Q: Suppose that f(x) = βx2-3     if x≤2                                   βx+2       if x &gt; 2…

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Q: 1. f (x) = 3x² + 2x + 1 at x = -2

A: Given that:                            1. f(x)=3x2+2x+1                 at x=-2.2. h(x)=x+1x2-1 at…

Q: Which of the following is a function that has a jump discontinuity at x = 2 and a removable…

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Q: Is it possible to determine f(7) if f(x) = 3 for all x &lt; 7 and f is rightcontinuous at x = 7?…

A: Solution: Consider the given that f(x) = 3 for all x &lt; 7 f is right continuous at x = 7  The…

Q: Consider the following. x + 7 f(x) =2- x - 56 Find the x-value (if any) at which f is not…

A: A rational function is defined as: A rational function is discontinuous at those points for which…

Q: Show whether f(x) is continuous (3х-2 f(x)={ x-2 x² -4 for x=- for x+ -

A: Given that, f(x) = 3x - 2; for x = - 2 f(x) = (x + 2)/(x^2 - 4); for x not equal to - 2 So when x is…

Q: Consider the following. x + 7 f(x) = x2 - x - 56 Find the x-value (if any) at which f is not…

A: To find The values of x at which f is not continuous.

Q: Find the are under the graph of f(x) = 4-x2  on the interval (-2,1)

A: Given, f(x) =4-x2  we have to find the area under the curve on the interval (-2,1)

Q: Consider the following. 6 = f(x) = -x² +9 Find the x-values at which f is not continuous. Which of…

A: Given: As nothing is mentioned, we will be answering by graphical method. Graph:

Q: Is the following function continuous at a = 1? Explain why. x2 +4x 21 - f(x) = ifx # 3 X - 3 6. ifx…

A: Consider the function  fx=x2+4x−21x−3              x≠36                                 x=3

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

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Q: Consider the piecewise function f(x) defined by 6 — 2х if x 4 х? — 16 For which x E R is f(x)…

A: Given function is fx=6-2x                            , if x≤4x-4x+4x-6x2-16    , if x&gt;4

Q: 1. Suppose that f2(x) is a measurable function. Is it true that f(r) is measurable? Prove, or give a…

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Q: Suppose that f(x)=βx−3 if x≤2βx+2 if x>2 Find the value of β so that f(x) is continuous everywhere…

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Q: a) Suppose that f(x) = 4x if x<-1 = cx + d if – 1<x< 2 = -5x if x 2 2 Find values of c and d such…

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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: Find e so that f(x) is continuous on the entire number line. if x3

A: fx=x2    if  x≤3cx    if  x&gt;3 Since the given function is a polynomial function for all x&lt;3…