Let f be the function 3x-1 for x < -1 ax + b for – 1 < x< for x > f(x) = 4x-1 Find the values of a and b that make the function continuous. (Use symbolic notation and fractions where needed.) a = b =

Q: If f(x) is continuous on (-10,-3)such that, -10 -3 -10 I f(x) dx= 35; f(x)dx=71 find f(x)dx -5 -5 -3

A: In this question give that f(x) is a continuous function (-10,-3) find value of integration. Here i…

Q: Find the value for k so that the function will be continuous at x = – 1. 9x2 – 18x – 27 +9 if x - 1

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Q: 4. Let f(x)=1+x³-x. Find an x-value that makes f(x) 0.

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Q: Find the intervals on which the function is continuous, f (x) r+4 22 -12r+32 Find the intervals on…

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Q: Find the intervals where f(x) = x2e−x is increasing and where it is decreasing.

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Q: Find the constant a such that the function is continuous on the entire real line. [ 5x², x 2 1 x < 1…

A: The given function is: f(x)=5x2   ,   x≥1ax-3,  x&lt;1 To find constant 'a' such that the function…

Q: For the function x2 +3 for x 2 | Identify the discontinuities of f as removable, jump, or in…

A: Given information: The function is hx=x2+3    for  x&lt;110-x   for  1≤x≤26x-x2  for   x&gt;2.…

Q: (b) Let the function f: R → R defined by 3x for x > 3 2x2 + 3 for - 2 < x< 3 3 x? – 7 for x<-2 f(x)…

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Q: Find the value a that will make f(x)={2x^2-7x+3/x-3  if x is not equal to 3…

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Q: Find the absolute extrema of the function on the closed interval. 5x f(x) [-5, 5] x2 + 16

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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: 2 For the real-valued functions f (x)=x´- 3 and g (x)= /x-4, find the compositionƒ °g and specify…

A: Given f(x)=x2-3 g(x)=x-4

Q: ,if x>2 Find the correct value of bb that makes

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Q: Find all the intervals at which the given function is continuous. 1. f(x)=x^2 - 3x - 10

A: Continuity: A function is said to be continuous at if following conditions holds. 1) exists 2)…

Q: The function f (x) = 3x² –4x-3 is continuous everywhere.

A: Given,             f(x)=3x2-4x-3

Q: Find the intervals on which the function f(x) =x2 +5x2 -8x+1 is strictly increasing function

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Q: f(x)= 23-4b            If x=3

A: Continuity: A real function f(x) is said to be continuous at a∈R (R− is the set of real numbers), if…

Q: Find the values of k that make the function continuous. k2 – 22x, x > 11 - f (æ) = kæ, x < 11

A: to find the values of k the function is to be continuous for x=11 value of k is 22 or -11.

Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)…

Q: Let ƒ be the function given by ƒ(x) = (x-2)²(x+3). For what values of x is f not continuous?

A: The given function is fx=(x-2)2·(x+3)(x-2)·(x+1) We have to find the values of x, for which f is not…

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: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: Given information: fx=-x33+x22+2x

Q: Find all values of x for which the function f(x)=(x^2+x-6)/(x^2-5x+6) is not continuous.

A: We will solve the problem.

Q: 4 If f(x) = x 2 - function for all real values of x, then f(8) is equal to

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Q: Let f(x) = Vx +7 and g(x) = x +3 a) Find (2) (2) show work. b) Give the domain of the function (-)…

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Q: 3x if x 2

A: Given that a function of f(x) and we find value of k. We know that if a function is continuous at x=…

Q: Suppose that f(x) is a differentiable function such that f(3)= 8 and f'(3)=-2. If g(x)=xf(x), then…

A: Product Rule of differentiation : d(u.v)dx = u.dvdx + dudx.v

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: Make the composition (f o g) (x) with the function f (x) = x ^ 2 + 2 -2 and g (x) = √x

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Q: Find the values of a and b that make f(x) continuous for all real numbers. (x+2, f(x) = { ax³, (x² +…

A: Given that f is a continuous function, then it is continuous at all the point. So, the function is…

Q: (b) Determine the values of a and b that make f(x) continuous for all real x. x² – 4 x- 2 f(x) =…

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Q: For the real-valued functions f (x)3D2x-1 and g (x) =Vx-4, find the composition f og and s

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

A: Given: fx=1x,x&lt;-1, x&gt;12ax+b,-1≤x≤12 if given function is continuous then limx→-1-fx=limx→-1+fx…

Q: Find the constant a such that the function is continuous on the entire real number line. Sx³, x 9

A: The value of a = 9. First of all, consider the given function. For the function to be continuous the…

Q: Of the given values of x, identify those at which the function is continuous. f(x) = 5x-9 ; x = 9,…

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Q: Let ​f(x)= 5x − ​1, ​h(x)= -x − 2.   Find ​(f◦​h)(−4​).

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Q: Find the values of a and b that make f(x) continuous for all real numbers. (x+ 2, f(x) = { ax³, (x²…

A: f(x)=x+2,x≤-1ax3,-1&lt;x≤1x2+bx,x&gt;1

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: 4. Determine the possible pairs of values (a, b) which make the function below continuous…

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Q: if x 2 1. Determine the constant k such that the function f(x) = {1 is continuous at a = 2.

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Q: 3. For f(x) = x' + 14, find all x such that f(x) = -13.

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Q: The piecewise function f(x) is defined below. f(x) = {kx² - 4, Is-2 x+ 2, xS-2 x>-2 For what value…

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Q: Describe the behavior of f (x) = x' – 3x + 6 for all values of x. | O f(x) is increasing when x 2…

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Q: Let ​f(x)= −4x −​1, ​h(x)= -x - 4   Find ​(f◦​h)(6​).

A: Given,

Q: (-x3 – 4x + 20 ,x > 3 2 – 7x , x < 3 Determine whether the function f(x) = is continuous at x = 3.…

A: From the given problem: fx=-x3-4x+20 , x&gt;32-7x , x≤3 As we know that:  If limx→a+fx=limx→a-fx=fa…

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…

Q: Let f(x)= 6-x and g(x)= ln(x). What is the domain of g o f(x)? Express your answer in interval…

A: This question is based on functions and definition of Natural logarithm.

Q: D. Discuss the continuity of the function on the closed interval. Function Interval 1. g(x) V49 [-7,…

A: Note: We are entitled to solve only one question at a time. Given: gx=49-x2 To Discuss: Continuity…