Determine whether the following function is continuous at the given point z За? + 14г — 5 1 f(x)= 3x – 1 16 3 1 3 3

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: Let f be defined as follows: Sx+5 for x> 5, f(x) = Зах for x <5 } For what value of a is the…

A: A function f is continuous at a if limx→af(x)=f(a).

Q: DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN VALUES OF X.  f(x) = 1/x^2 - 9  a.…

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Q: Determine whether the given functions are continuous or not at the indicated points. g(x)={x+ex  ;…

A: Limit                Let D c R  ,  f : D → R  be a function ,  Let c be a limit point of D . A near…

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Q: Describe the interval(s) on which the function is continuous.

A: Consider the piecewise function  f(x)=x2-1x-1,              x≠12,                      x=1 To check…

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 2. f(x) = Vx…

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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) =

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Q: For what value of the constant c is the function f continuous on (-0, 00)? C =

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Q: 3) Determine A and B that makes the function continuous as x approaches 0 and 1? y A x>1 x-B x<0

A: Given:           y=x2                  0≤x≤1A                   x&gt;1x-B             x&lt;0 Given…

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

A: continuty

Q: Suppose f(1) is continuous everywhere, and has the following values: 10 20 30 40 f(z) -4 9. 11 3. 7…

A: Given,  f(x) is continuos everywhere  f(x) has the following valuesx010203040f(x)-491137To…

Q: determine at which points, the function f(x)=x2 if x∈Q if x and f(x)=-x2 if x∈R/Q is continuous.

A: Given To evaluate the points where the function f(x)=x2 if x∈Q if x and f(x)=-x2 if x∈R/Q    is…

Q: Suppose f is a continuous function where f(7) = 9 and f'(7) = 6 . The tangent line to the graph of y…

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

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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 following are continuous at the certain point. Show your | COMPLETE SOLUTION. f(2)…

A: Authoring guidelines: As per the authoring guidelines we can solve only the first three parts of…

Q: Consider the piecewise-defined function Vx+ 1, x> 3; f(x) = { 2b, X = 3; x < 3. %3D ax + b, Supposef…

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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: (2x+5 3. g(x) = {x? +2 x -1 at x = -1 x= -1 i. ii. i.

A: Find LHL  and RHL   and  g(-1) then equate all the values if all are equal then it is continous if…

Q: I Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) =…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Evaluate f (x): at x = -2. %D 1 - x2 Select one: A. Discontinuous B. Continuous

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Q: ii) f(x) = x*-1 %3D x²-1

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Q: 5. Find interval where the following functions is continuous. a). f(x) = Vr +1 b). f(t) = r+3 47-1

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Q: Find the values of a and b that make f continuous everywhere ー if xcz 2-2 fac)= az²-bz +l, if 23 a =…

A: The objective is to find the values of a and b for which f(x) is continuous everywhere.

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: Suppose f(x) is continuous everywhere, and has the following values: 10 20 30 40 f(x) 4 10 8 5 5…

A: f(x) is continuous everywhere and has the following value: x 0 10 20 30 40 f(x) 4 10 8 5 5

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…

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

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

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Q: Aen vity # 2 BLs auss ME! t) flx):1 Xスー 2.

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Q: 4) Is the following functions continuous? for x < 1, d(x)= x- 2 for 1 < x.

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Q: 4. Use the limit definition of the derivative to test whether the following function f(x), given by…

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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: Q2 Evaluate whether the function 1-xy if xy # 1 z = x-y if xy = 1 continuous at (1,1) or not.

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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…

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

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Q: Suppose f(x) is continuous everywhere, and has the following values: 10 20 30 40 f(x) - 2 7 10 - 4 7…

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Q: Q2/A) Decide if the following function is continuous using limits. flxl=2x,x«0 5Vx,x>0

A: We know that polynomials are continuous in their domain. Therefore, for x&lt;o, f(x)=2x and for…

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Q: _18. Determine the following function if continuous at f(x) = ) `x + 1' ; at x = 0

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Q: On what domain is the function f(x) = 5+ V2x + 6 continuous? %3D

A: Let's find.

Q: Which of the following functions will not be continuous at x = -5? Select one: a. All of these…

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