Determine whether the following 1 function is continuous at the given point x = 2 2x2 + 9x – 5 1 - f(x) = 2x – 1 11 2 1 2 ||

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

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

Q: Determine the value for k that will make the function continuous at c = 4. x² – 9 if x 4

A: Left-handed limit of a function at a point is obtained by approaching the point from the left on the…

Q: Find the values of a and b that make the following piecewise defined function both continuous and…

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Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: If function is continuous  Then, it will be continuous on x=-1 and x=12 Therefore, limx→-1-1fx=f-1…

Q: Determine whether the following function is continuous at the given point 1 = 2x+11x f(z) = 2x 13

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Q: f(x)% = x- 3x3 + 2x2-5x-7 at x = -1 %3D vnaud

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Q: Let f be defined as follows: x2 +5 for x > 5, Зах f(x)3D for xs5 For what value of a is the function…

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Q: Is the following function continuous? [x² + y² _if x² + y² ! f (x, y) =

A: The left-side limit, the right-side limit, and the value of the function at that point can be…

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

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

A: Given The function is

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

A: continuty

Q: Find c so that f is continuous at every point f(x) = 5x+12c, if x < -5 f(x) = (cx^2)+1, if x ≥ -5

A: Given- fx=5x+12c if x&lt;-5cx2+1   if x≥-5 To find- The value of c that  the above function is…

Q: Find the value of k so that the function ( 5x +3 if x<3 f(x) = | kx² is continuous everywhere? if x…

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Q: Q3/ A) Decide if the following function is continuous using limits. 2х x1.

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Q: Determine if the following function is continuous at the indicated number. 3. g(x) = { ( 3 – x, x 1…

A: It is continuous function problem.

Q: Determine if the following piecewise defined function is differentiable at x = 0. 4х- 1, X20 f(x) =…

A: We will check whether the function is differntiable or not at x=0 as following.

Q: Is the following function continuous at x = 2? Explain why or why not. x2 +x – 6 - :x > 2 f(x) = x –…

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Q: 1. Determine whether the following functions are continuous at the given point. a) f(x) = 1 ; а — 3…

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Q: Is the function below continuous at x = -5? f(x)=x3−2x2+5x+1

A: We are to simplify

Q: Determine if the given function is continuous at the indicated number x = c. |x-3| if x#3 4. j(x) =…

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

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

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

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Q: Suppose that f is a continuous function such that | f(x) dz = -12. Find (*") dr.

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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 whether the following functions are continuous at x = 2: x 2 7x + 3 f(x) = 3x + 7

A: Determine whether the following functions are continuous at x=2

Q: Determine whether each of the following functions is (a) continuous (b) differentiable. 12.…

A: We know that every polynomial function is continuous and differentiable. If a function is not…

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: Is the function given by f(x)=x^2+3x/2x-1 continuous over its domain?

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Q: the following function is a continuous function at x=2 امرفق x² +x-6 x+ 2 x) = x2 - 4 x = 2

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Q: Determine if the given function is continuous at a given value of x. 2. f(x) = x² - 4x – 2 at x = 1…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: Find the value of k so that the function 5x +3 if x< 3 f(x) = - kx2 is continuous everywhere? if x23

A: we have to find the value of k where f(x) is continuous everywhere  Also find the domain in the next…

Q: Find the value of the constant aa that makes the following function continuous on (−∞,∞).…

A: Since the function is continuous at every real number , so, it is also continuous at x=5Therefore,…

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: 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: Let f be the function (8x-1 for x х Find the values of a and b that make the function continuous.

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Q: Determine whether the following function is continuous at the given point z =: 3x2 + 14x – 5 1 3…

A: Given. The function fx=3x2+14x-53x-1  x≠13163x=13 We have to check the continuity of the function at…

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

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

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: Determine if the following functions are continuous at the given value of x. Show your solution. 1.…

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Q: Q3. Determine whether the function is continuous at x=1 or not (x² - 1 x = 1 f(x)=x-1 2, x = 1

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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: Determine whether the following functions are continuous at x = 2: 17x + 3 13x +7 x<2 f(x) = x22

A: In calculus, a function is continuous at x=a if and only if all three of the following conditions…

Q: Determine whether the following function is continuous at the given point z= 22 +9z – 5 f(=) = 2x-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 function is continuous at the given point. 1 f(x) = {* - (x2 – 2 x 0 at x = 0.

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Q: Determine whether the following function is continuous at the given point z = 3x2 + 17z - 6 f(x) =…

A: A function f(x) is said continous at x = a  only when

Q: h(x) = x+1 %3D at x = 1 x2-1

A: Function f(x) is continuous at a point x=a :Function should be defined at x=a, and  limx→a-f(x) =…

Q: f(x) = x² – 3x – 10 %3D

A: The limit of a function at a point is the value of the function when the value of the variable is…

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.