If f is continuous on (-x, ∞), what can you say about its graph?

Q: is uniformly continuous by definition on the interval (-1,1) . 4 - * Show that f(x) =

A: A function fx defined on an open intervala,b is uniformly continuous on a,b iff  i fx is continuous…

Q: If f is continuous at a number, x, then f is differentiable at x. True

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Q: If f is continuous on (-o, co), what can you say about this graph?

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Q: b) Suppose that f(x) 1 if x is negative. Can ƒ be continuous at x = 0?

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Q: The limit as x goes to zero of x-1 exists.   True or False?

A: We need to say whether the given statement, “The limit as x goes to zero of x-1 exists.” is true or…

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: 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: If f is differentiable at a number, x, then f is continuous at x.

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Q: If f is continuous at a number, x, then f is differentiable at x. True False

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Q: What conditions must be satisfied by a function if it is to be continuous at an interior point of…

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Q: Use limits to determine if f(x) = is continuous at z = -2. (z+2)²

A: Given that  f(x)= 1(x+2)2 is continuous at x = -2

Q: What is the definition of f(x) is continuous at x = a? ||

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Q: Use a graph to determine whether the given function is continuous on its domain. H Sx + 2 if x < 0…

A: Given query is to find function is continuous not.

Q: Prove that the following function is continuous on the interval [-5,5]: H(x)= the square root of…

A: Given, H(x)=25-x2we have to prove that the given function is continous on the interval[-5,5]…

Q: Sketch the graph of a functionf that is continuous except for a removable discontinuity at 2.

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

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Q: If f (s Continuous then on -fex) True or felse?

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Q: If 7х- 5,х <1 { h(x) = 3x2 – x , 1 < x< 3 Is h(x) continuous at (x=1)?

A: Continuity of function at a Point : Suppose a function f:A→B where A,B⊆ℝ .Then f is continuous at…

Q: define the function at 5 so that it becomes continuous at 5.

A: First, we rationalize the function, so that it becomes continuous at 5 which is shown on the board

Q: Show that f is continuous on (∞ , -∞ )  .

A: we have to show that f(X) is continuous in (-∞,∞). f(x)=x2             if   x&lt;1           x…

Q: How many continuous functions f are there which satisfy (f(x))² = x² for all x?

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Q: The graph of a function f is given. y 1 1 Determine whether fis continuous on its domain.

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Q: Which of the following graph shows that f (z) = |r - 2| is continuous but not differentiable at x =…

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Q: Is the functionf graphed below is continuous at x= -1? Choose the appropriate reason that justifies…

A: Continuous at x=-1, as limit is equal to f(-1).

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

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Q: Use the definition of continuity and the properties of limits to show that the function is…

A: A function is continuous in an interval if is continuous on every point of the interval. Now, a…

Q: The function f(x)=³ in (x) is continuous everywhere except x (х-1) at x=0 and at x=1. When…

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Q: What is the continuous extension of f(x) = x3-1 at point x-1. %3D x2-1'

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Q: Determine algebraically if f is continuous at x= 0.

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Q: Show that the following continuous function has a root between l and 2. f(x) = 4x - 6x² + 3x - 2

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Q: Determine if the given function is continuous at a given value of x.

A: This question is related to limits and continuity, we will solve it using given information.

Q: Let f(x) = −2/x and g be the function defined b)Is f . g continuous at x = 3? If not, does…

A: limit of the composite function

Q: If a function f(x) is not defined at x-a, then it is not continuous at x-a.

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Q: show that f,given by f(x) x +0 )is continuous on R-{0}

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Q: Find the limit as x approaches infinity of f(x) when f(x) is x times square root of x

A: x times sqrt(x)= x times x^(1/2)= x^[1+1/2] = x^(3/2)

Q: If f is continuous on (−∞, ∞), what can you say about this graph?

A: If f is continuous on (−∞, ∞) then it means graphically that, you can trace it's graph with your pen…

Q: Sketch a graph of a function ƒ that is continuous on (- ∞, ∞) and has the following properties.…

A: To sketch the graph if a function f which is continuous on (-∞, ∞)  and first and second derivatives…

Q: Let f be a function that is continuous on the closed interval [1, 5] with f ( 1) = 10 and f (5) =…

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Q: The graph of the function f'(x) of a continuous function f is shown. On what intervals is f concave…

A: It is given that,the graph of the function f'(x) of a continuous function f.  We have to find…

Q: Suppose f" is continuous on (-o, 0). (a) If f'(2) = 0 and f"(2) = -2, what can you say about f? (b)…

A: Application of derivative problem

Q: Suppose that f hits every value between y = 0 and y = 1 on the interval [0, 1]. Must f be continuous…

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Q: sketch the graph of a function that is continuous everywhere except at x=3, and is continuous from…

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Q: 4. "The function f(x)= x-1 is continuous on(-0,0)". Is the statement true or false? If it is false,…

A: f(x) is continuous at x = a if L.H.L = R.H.L. = f(a).

Q: Would it be possible for a function to be continuous on [0,2) but not on [0,2]?

A: Let us consider the function f(x) =(x+4)/(x-2) .

Q: Which of the following does not represent a function that is continuous everywhere?

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Q: Show that x³, if x 0 is not continuous at x = 0. %3D

A: According to the problem, we have

Q: Is f continuous at x = 1?

A: The condition of continues function is, limx→a+fa=limx→a-fa=fa   For limit of function from the…

Q: draw the graph of a function f on [0, 4] with the given property. Infinite one-sided limits at x = 2…

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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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