Determine using the given graph if the function f is continuous on the following intervals. 1. a. (-1,1) b. (- o, 0) c. (0, + ∞)

Q: (9 pts.) Determine if the following function is continuous at x=-2. If not find the type of the…

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

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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: Use the following information for Questions 4 and 5. f is a continuous function with a domain [-3,…

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Q: For what value of a is the following function continuous at every x?

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Q: Decide if the following function is continuous using limits. 2x,x0

A: We use left hand limit, right hand limit and function value at 0.

Q: Determine using the given graph if the function f is continuous on the following intervals. 2. 1. a.…

A: Let's find.

Q: Sketch a graph of a function f that is continuous on (- 00,00) and has the following properties.…

A: We have to find the correct graph.

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

A: Given The function is

Q: Sketch the graph of a function that is continuous on (- 00,00) and satisfies the following set of…

A: Given that, the graph of a function that is continuous on (-∞, ∞) and satisfying the following set…

Q: Use the following information to sketch the graph of a continuous function with the following…

A: The given conditions are : (a) f-3=5, f0=2, f3=0 (b) f'x&gt;0 on -∞,-3∪3,∞and f'x&lt;0 on -3,3…

Q: Find the x-values (if any) at which the functionf(x)= is not continuous. Which of the…

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Q: Determine if the given function is continuous at the indicated number x = c. 4-x 2-V 4, SE, if x+4…

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Q: Q3/ A) Decide if the following function is continuous using limits. x1. 2x g(x)= 3

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

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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: 1. Find the value of c to make the following piecewise function continuous on the the interval (-o,…

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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: 3. Find the value of k that makes each function continuous over the given interval.

A: If function are continuous then both the side are equal

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

A: Topic :- Continuity

Q: For what value of k is the following a continuous function?

A: Function is continuous if   limx→2-f(x)=limx→2+f(x)=limx→2f(x)

Q: Q3: determine whether following function are continuous ore not 4 X# 2 f(x): x-2 4 X = 2

A: To determine whether the below function is continuous or not. fx=x2−4x−2,       x≠24,…

Q: be the continuous function defined on [-6,6] whose graph consists of a quarter circle mree line…

A: the solution is clear from the graph

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: Graph h and describe the discontinuity: h(x) = { ex lnx for x &lt; 0 for x &gt; 0 Is h left- or…

A: Given the function h(x)=ex lnx.  We need to sketch the graph for the given function for x&lt;0 and…

Q: У S 1 X

A: The function is said to be increasing in an interval if its value increases as the value of x…

Q: Determine if the following functions are continuOus at the given value of x. 1. f(x) = 3x² + 2x + 1…

A: To check the continuity of the function, check the left hand and right hand limit of the function if…

Q: Is f continuous at x = 2?

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Q: draw the graph of a function on [O, 5] with the given properties. f is left-continuous but not…

A: f is left-continuous but not continuous at x=2, and right-continuous but not continuous at x=3. Let…

Q: 1. (x) = 3x + 2x +1 at x = -2

A: f(x)=3x2+2x+1

Q: Determine the interval(s) on which the following functions are continuous. 2 - 4x + 3 x - 1 s1x2

A: solution:-  f(x)=x2-4x+3x2-1we have to determine the interval at which function is continuous.

Q: 9. ✓ (at x = ()) (at x=-2) 10. ✓ 2 (for all values of x) (at x = 3) 8.

A: Given are the graphs of different functions. We know that, a function is said to be continuous if…

Q: Decide if the following function is continuous using limits. x1.

A: Given,          gx=2xx&lt;13x=13x2+3x&gt;1

Q: sketch the given function and determine whether it is piecewise continuous on[0,∞).

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Q: Find a value for the constant k, if possible, that kæ? if x 2 Is the function f(x) = 1 continuous…

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Q: . Is the function continuous on the interval (4, 10)? (x + 1 if x > 8 f(x) = E) + 7 if x < 8 A.…

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Q: Is the following statement correct? If the function f is continuous at x=1, then the constant a…

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Q: Determine whether the following function is continuous at the given point z= 22 +9z – 5 f(=) = 2x-1…

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Q: At what points of R² are the following functions continuous?

A: A function is not continuous at the value of variables when the function does not give a defined…

Q: On which of the following intervals is f(x) А. (2, +) В.[1, 2] C. [2, +∞) D. (-30, +∞) continuous?

A: We will solve the problem

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

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Q: Determine the continuity and, if discontinous, the type of discontinuity for the function…

A: Given query is to find function is continuous or not at x = -1.

Q: Find the values of a and b such that the following piece-wise function is continuous at points x=2…

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Q: r² + 5x , if x -5 x – 5

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Q: 5. Find the value of k that makes the following function continuous. f(x) : ={2x - 1,if x2-1

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Q: Where is the function f(x) below discontinuous? if z 2 Choose all answers that apply. f(x) is…

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

Q: Find the values of a and b such that the following p Function is continuous at points -2 and x-5…

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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.