What values of a and b will make the function f continuous at x=2 and x=3? * x2 - 4 if x < 2 x - 2 ax2 - bx +3 f(x) = %3D if 2 3 2x – a +b O a = 1/2; b=1/2 O a=3/4; b=1/2 a=1/2; b=3/4 a=1; b=1

Q: Find the values of a and b that make f continuous everywhere. x2 4 if x 3 a = b =

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Q: -2 x<-1 Q1)a) For what values of a and b is g(x) = |ax – b -1 < x< 1, x 21 Continuous at x-0

A: from given function , the value of function in between 1 and -1 is ax-b. As x approaches to 0 the…

Q: (2x+1 x² +2 x> h) Xsh Q3) If the function f(x) %3D having limit at x h. Find the value of h.

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Q: + [ƒ(2)₁ Suppose that fand gare continuous functions such that 1 [ g(x)dz -3, find f(x)dx= 2 and +…

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Q: Find the values of a and b that make f continuous everywhere. f(x) =    (x2 − 4)/x-2        if x < 2…

A: Given fx= x2-4x-2 if x&lt;2ax2-bx+1   if 2≤x&lt;34x-a+b      if x≥3Here f is continuous everywhere…

Q: 1) Find the value of C that make the function continuous at x-1? x 1 -

A: We have given piecewise function  Function is continuous at x=1 if  f1+=f1=f1- f(x) = C-x        if…

Q: For what values of a and b will f(x) be continuous on everywhere at x = 2 if the function is x² – 4…

A: f(x)=x2-4x-2x&lt;2ax2-bx+32≤x&lt;32x-a+bx≥3

Q: 2. Find all values k that make this function continuous at x = 3. Зх — 9 - if x > 3 f(x) = x² – 3x…

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Q: ,x5 (A) 5 (B -4 6 3 (E) none of the given choices

A: Given that, The function f(x) is following, f(x)=x-4,x≤5kx2-24x+46,x&gt;5 We have to find the value…

Q: Find the values of a and b that make f continuous everywhere. 2-4 x 2 if x < 2 f(x) if 2 s x< 3 if x…

A: To determine the values of a and b so that f(x) is continuous everywhere.

Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x < 2 X - 2 f(x) = if 2 < x…

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Q: x+2, The function f(x) = 2x², Select one: Ⓒ True False x≤1 1<x<3 is continuous from the right at x =…

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Q: 2. f(x) = is a continuous function but it is discontinuous at x = 3. Explain why X - 3 this is not a…

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Q: 6. Determine the value of the constant a for which the function g(x) is continuous at x = 1 x2 + 5x…

A: This is a limit and continuity problem

Q: The function f has a continuous second derivative, and it satisfies f(-6) = -1, f'(-6) = 0 and…

A: Maxima minima problem....

Q: 4 Suppose that f(1) = 9, f(4) = -7, f'(1) = 6, f'(4) = -1, and f" is continuous. Find the value of…

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Q: if x < 6 cx2 + 7x x3 - cx Let f(x) = if x 2 6. For what value of the constant c is the function f…

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Q: Find all values k that make this function continuous at x = 3. 3.x – 9 - if x > 3 x2 3.x f(x) - 3x…

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Q: If f(x)= (x^4) + 3x + 1 and there are two roots x=a and x=b in the interval [-3,-1] with a &lt;b.…

A: The given function is,

Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x 3

A: Given function is,

Q: Solve for a and b that makes the function continuous at every number in its domain f(x) = 2x+1 x5

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Q: x2-x-1 , if x 1 is 1 if x= 1 continuous at x=1 since the right and the left limits are equal at x =…

A: f(x)=x2-x-1if x&lt;13x3-4if x&gt;11if x=1

Q: For what value of the constant c is the function f continuous on (-∞, +∞)? cz +4 if x ≤ 10 f(x) =…

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Q: : Find the value of k that makes function continuous at x = 5 5x? – k x 5 f(x) =

A: Limit of a function at a point exists if the left-handed limit and right-handed limits at that point…

Q: 2. Find the values of the constants a and b for whichf is continuous everywhere if ax + b, f(x) =…

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Q: Find the value for k so that the function will be continuous at x = 1. - 5x2 - 30x + 35 - 10 if x <…

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Q: Solve for a andb that makes the function continuous at every number in its domain f(x) = 2x+1 x5

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Q: The function ff has a continuous second derivative, and it satisfies f(1)=2f(1)=2, f′(1)=0f′(1)=0…

A: Given: f(1)=1, f'(1)=0, f'(1) = 2 A critical point of a function occurs when the first derivative…

Q: 1(a): Find the value of k that makes function continuous at x = 4 4x +8 > 4 4x – k a <4 f(x) =

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Q: A continuous function y f(x) is known to be negative at x = 2 and positive at x=7. Why does the…

A: Given that f(x) is a continuous function.

Q: Find the possible value for each of the constants a andb that will make the function f(x) continuous…

A: A function is said to be continuous at x=a iff limx→a-f(x)=limx→af(x)=limx→a+f(x)

Q: 3) Find the value of k that makes function continuous at x = 4 Зх + 8 x > 4 f(x) = 4x – k x < 4 — k

A: A function is a relation from a set of inputs to a set of possible outputs where each input is…

Q: -2 x<-1 Q1)a) For what values of a and b is g(x) = |ax - b - 1<x< 1, 3 x21 Continuous at x=1

A: From  the given problem:   gx=-2x≤-1ax-b-1≤x&lt;13x≥1     As we know that a function f(x) is…

Q: Find a value of the constant k, if possible, that will make the function continuous everywhere. (kx…

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Q: -2 x<-1 Q1)a) For what values of a and b is g(x) = |ax - b -1<x<1, 3 x21 Continuous at x=0

A: F is continuous at any point then left hand limit is equal to right hand limit. if limit is not…

Q: 12. Suppose we know that f (x) is continuous and differentiable on the interval [1,9], that f (9) =…

A: To find: The largest possible value of f1. Given: The fx is continuous and differentiable on the…

Q: Find the value of a and b that will make the function continuous. for x 1/2

A: The function f(x)=1x,        for x&lt;-1ax+b,  for  -1≤x≤121x,         for x&gt;12. We have to find…

Q: S x2 – 3 |kV5+x _if x > –1 if x < -1 - 2. Determine the constant k such that the function f(x) : is…

A: As per our guidelines, I can answer one question and maximum three subparts of a question. Since you…

Q: Гa+ 4x ifx 1 Let f(x) (a) The value of a that will make f(x) continuous for all real numbers is a =…

A: Check the differentiability of a function when it is continuous at x= 1 .

Q: 6. Determine the value of the constant a for which the function g(x) is continuous at x = 1 x* + 5x…

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Q: (a). Find the values of a and b that make ƒ continuous everywhere. if x<2 x-2 S(x)={ar - bx +3 if…

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Q: *show work*

A: Given:A continuous function y = f (x) is known to be negative at x = 4 and positive at x = 9.

Q: x²-a if x2 is continuous at x-2, then x+3 if x-2 If the function fo)

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Q: 2. Find the (exact) values of a and b so that f is continuous at a = 2. 8r2 + 20x + 28 if x 2

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Q: Suppose f(x) is a continuous function with f(-2) = 4 and f(1) = -1. What can we conclude about

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Q: Find the values of m and n that make f(x) continuous over (-∞, ∞): f(x) = m= n= 4 x-2 mx² - nx 2x -…

A: Topic- Limits and continuity

Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for x 2…

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Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x 3 a 3D

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Q: x² - 2x-8 if x+ 4 (4) F(x) =, x-4 if f is continuous at x=4, а, if x = 4 then a =.

A: Topic:- limit and continuity