Determine the discontinuities of the following functions and state why the function fails to be continuous at those points. Check your answers by using a graphing calculator ( such as Desmos F(x) =x2-3x-10/x+2

Q: For which value of a is this function continuous? Please use exact values. { ах — 1 x > 3 f(x) = x2…

A: NOTE: Refresh your page if you can't see any equations. . here the function is continuous so we can…

Q: Is the function f graphed below is continuous at = -4? Choose the appropriate reason that justifies…

A: topic - continuity and limits f is not continuous at x =-4 reason = left hand limit is not equal to…

Q: Determine the discontinuities of the following functions and state why the function fails to be…

A: f(x)=x3+x2-17x+15x2+2x-15function is undefine when x2+2x-15 is become 0Let…

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: Determine the discontinuities of the following functions and state why the function fails to be…

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Q: 4 x if x 2 3 = x - 2 if 0 < x < 3 x-1 if x <0 %3D

A:

Q: Determine the interval (s) where the following function is continuous x-7 f(x)= (x-7)x+4)

A: In the given function (x-7) is a common factor in numerator and denominator. So, it will cancel out…

Q: Determine if the following function is continuous or discontinuous at x = 0? 4 +5 f(z) = 9-3z

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Q: Determine whether the following function is continuous at the given point x = 6: x2 8x + 12 - x + 6…

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Q: The function is discontinuous at x= -4. At this point, is f continuous from the right, left, or…

A: A function f is said to be right continuous at a point a if it is defined on an interval and if…

Q: x2 – 1 f (x) ; x = 1 х — 1

A: We will solve the following

Q: At which of the following values is the function g(x) = *+5 not continuous? x2+x

A: Here ,given function g(x)=x+3x2+xAnd  above polynomial is rational polynomial .A rational polynomial…

Q: Determine the interval(s) on which the following functions are continuous. x + óx + 17 flx2 = x² - 9

A: Given The function is

Q: Analyze the following graph of f' (x). Õver what interval is f concave down? 2 1 -4 -3 -1 4 -1 -2 -3…

A: Given  The graph of f'x  We have to find the intervals in which f is concave down.

Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

A: The graph of a function is said to be continuous in an interval if there is no break in ite graph at…

Q: Explain if the function is continuous or not for the given number a. if x > 1 f(x) = {1 if x = 1…

A: topic - limits and continuity

Q: (x – 2)2 +1 if x 2

A: We have to check continuity of function at x=0 and x=2

Q: Determine if the function is continuous at the given point. Sx³ x 2) f(x) = at x = 2.

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

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Q: Determine whether the following function is continuous at the given point x = 3 За? + 17х — 6 1 -…

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Q: For the function g(x) in part (c), how would you "remove the discontinuity"? In other words, how…

A: First, we find limx→3g(x). We rewrite g(x) as, g(x)=(x-3)(x-1)(x-3) If x≠3 we have…

Q: Determine whether the following function is continuous at the given point ar = 3x? + 17x – 6 f(x) =…

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Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

A: It is clear from graph of y=k(x) , that the function k(x) is continuous on the interval [-1,1) and…

Q: Determine whether the following function is continuous at the given point z- 3z+ 14z -5 f(2) 3z -1…

A: A function fx is continuous at x=a if limx→a-f(x) = limx→a+f(x) = f(a)  Given: fx=3x2+14x-53x-1…

Q: Determine using the given graph if the function f is continuous on the following intervals. 1. a.…

A: A real valued function f(x) is defined in an interval,say [a,b] and its graph is available to…

Q: Determine whether the following function is continuous at a. f(x) = /x- 7; a = 1

A: Topic :- Continuity

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: x²-4 f(x)%3D x2-5x+6

A: As we know that; The polynomial function y=fxgx is continuous everywhere except such ''x'' where…

Q: Create a graph of the following function to determine whether it is continuous on its domain. S-a +…

A: From the basics of Limits and Continuity

Q: Find the value that will make the following continuous * x² +c x -1 f (x) = x³ +1 -3 -2 -1

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Q: Determine the discontinuities of the following functions and state why the function fails to be…

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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: 2. h(x) = 플ox=1 x+1

A: Given a function : h(x)=x+1x2-1 We need to show if it is continuous at x=1 or not. Let's begin.

Q: At what points is the following function continuous? 3 x - 125 x²2²-25 f(x) = 7.5, 4, X#5, x# -5 x =…

A: Given function:- fx=x3-125x2-25x≠5,x≠-57.5x=54x=-5 Condition for continuity at x=a…

Q: For the function f, how would you remove the discontinuity? In other words, how would you define…

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Q: Is f continuous at x = 2?

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

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Q: Consider the function defined by f(x) = -(x + 1)² +5 if x 4 Graph the function. Is the function…

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Q: Suppose that a state's income tax code states that the tax liability on x dollars of taxable income…

A: Given T(x)=0if x≤00.14if 0&lt;x&lt;10,0000.21x+cif 10,000≤x

Q: Determine whether the following 1 function is continuous at the given point x = 2 2x2 + 9x – 5 1 -…

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

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

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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: (b). Determine whether the function is continuous or discontinuous at the given x-value. x²-3 x=-5…

A: Given function is

Q: Determine the discontinuities of the following functions and state why the function fails to be…

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Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

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Q: x3-9x f (x) = c = -3 x² +11x+24

A: Given function is fx=x3-9xx2+11x+24. To determine whether function is continuous at c=-3. Solution:…

Q: Select all of the graphs that depict a function which is not differentiable at x=0.

A: Here, we need to select all the graphs that depict a function which is not differentiable at x=0.…

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.