D. For what values of a and b is Continuous at every x? -2, - b, f(x) = 3, -1

Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: Given: f(x) = 14-x2 To find: The values of x at which function is not continuous.

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Rearrange the the given rational function. As the denominator tends to 0 the function is undefined.…

Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: Given: f(x)=tanπx2

Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: fx=x+2x2-3x-10⇒fx=x+2x2-5x+2x-10⇒fx=x+2xx-5+2x-5⇒fx=x+2x-5x+2 Now denominator is zero when x=5, -2.…

Q: 9. If f is continuous and | f(x) da = 3, find æf(x?) dx.

A: We have to evaluate the given definite integral using the other definite integral.

Q: For what values of b is b + 1' x? + b, x > 0 8(x) = continuous at every x?

A: Now we check the continuity at x = 0:

Q: Which of the following functions are continuous on (-0, 0)? (a) ƒ(æ) = 1/x. (b) g(x) = Va. (c) h(x)…

A: Topic = Functions  Correct letter is C

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A:

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A:

Q: Find numbers a and b, or k, so that f is continuous at every point. x2, ifx s5 f(x) = kx, ifx>5

A:

Q: For what values of a is

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Q: For what values of a and b is -2, f(x) = { ax – b, -1 <x< 1 3, continuous at every x?

A: Given: fx=-2,    x≤-1ax-b,    -1&lt;x&lt;13,   x≥1

Q: 46. Find the values of a and b that make ƒ continuous everywhere. 4 - if x < 2 f(x) = ax? if 2 <x <…

A:

Q: For what value of c is the function defined below continuous on (-∞, )? сх + 4, x 4. x > 4. f(x) = C…

A: f(x) = cx+4    ,  x&lt;4cx2-4  ,  x≥4we have to check continuity on (-∞ , ∞)for a function to be…

Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: Consider two functions f(x),g(x) defined for all real numbers. Let the two functions be continuous…

Q: Find a value of x, if any, at which f(x) = x + 2 - is not continuous. x2 + 4 If f(x) is continuous…

A:

Q: Which value must you assign to a so that f(x) is continuous at x = 4? 8+ 2x - x? x# 4 f(x) = X-4 a…

A:

Q: For what value of b is             continuous at every x?

A: The given function is fx=-2,x≤-1ax-b,-1&lt;x&lt;13x≥1. Assume that the above function is continuous.…

Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: Given: f(x)=cscπx6x-3≤22x-3&gt;2 Simplify the given function.…

Q: Give the values of A and B for the function f(x) to be continuous at both x = 1 and x = 7. Ах — В x…

A: Given: Now, at x=1, limx→1-fx=limx→1Ax-B=A-B

Q: If a function f(x) is not defined at x-c, then it is not continuous at a close interval [a, c). * O…

A: We know that function is continuous at c if the 1) f(c) is defined 2)limit of f(x) exist, Here…

Q: For what values of a and b is -2, xS-1 f(x) = ax - b, -1 <x<1 3, continuous at every x?

A:

Q: Suppose X is continuous with f(x) = x/2 from 0 to 2. What are the values of f(1) and P(X=1)? 1/2 and…

A: Given,f(x)=x2 ; 0&lt;x&lt;2

Q: At what value(s) of x is the function below discontinuous? x+4, if x1 O x=1, only O x=-1, only At…

A:

Q: 45. For what value of the constant c is the function f continuous on (-∞, ∞)? Scx? + 2x if x 2

A: Let f(x)=cx2+2xif x&lt;2x3-cxif x≥2

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given :             f(x) =1(4-x2)

Q: Suppose f and g are continuous functions on the interval [a, b], then SEAFX) – g(x)) dx = [." f(x)dx…

A:

Q: a) For which values of a and b in R is f(x) continuous on (-infinity, pi/2)? b) For which values of…

A: Given function is f(x)=x+a, x≤0bcos(x)+asin(x) , 0&lt;x≤π4btan(x), x≥π4 If f(x) is continuous on…

Q: 16.C. If f is defined and continuous on R? to R and if f(xo) > 0, then is f positive on some…

A: Consider the provided question,   We need to show that, f is strictly positive on some neighborhood…

Q: What values must a and b take for f to be continuous everywhere?

A: Given that the function fx=ax1+4x2 ,      x&lt;0b    ,                     x=0tan-1xx ,…

Q: For what value of a is the following function continuous at every x? a?x f(x) = х+ 2а, х22 12, x<2

A:

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: Consider: f(x)=tanx4, −1&lt;x&lt;1x,              x≥1x,              x≤−1  tanx4is continuous on…

Q: For what values of k will the function below be continuous for all x? x³, xsk h(x) = x², x > k 1 and…

A: The function is said to be continuous at x=k if limx→k-f(x)=limx→k+f(x)=f(k).

Q: For what values of a and b is Continuous at every x? -2, x 1

A:

Q: Which of the following functions is continuous at x = 4? O csc(). I-4 --2

A: Given:- cac(πx/4)  1/(x2-4)  √x/(x-4)  1/(√x-2) To find:- Which of following is continuous at x=4

Q: Find the constants "a" and "b" so that the following function sin 2x, if 0<xs. f(x) =- lax + b,…

A: Given f(x) is continuous and differentiable at x = π/6

Q: 50 if x E Q 1 if x € R\ Q Let f(x)= Prove that y=f(x) is not continuous at any points a E IR.

A: Take p ∈ Q and let (xn) be a sequence of irrationals converging to p. Then f (p) = 1 but f (xn)→ 0…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: given that  f(x)=tanx2

Q: Find the value of "k" , given that the following function f(x) is continuous at x = 3 OL + 8, f(x) =…

A:

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

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

Q: For what values of a and b is -2, - b, -1 < x < 1 3, f(x) = ах continuous at every x?

A:

Q: 46. Find the values of a and b that make f continuous everywhere. x? 4 - if x 3

A:

Q: B/ For what value of a is fo continuous at every x? x? – 1, x< 3 { fx) = 2ах, x2 3

A: Our objective is to find the value of a for which f(x) is continuous at every x.

Q: On which of the following interval is f(x) S O (0, +∞0) ○ (2, +∞) O [2, +∞0) 0 (-∞, +∞0) 1 x-2…

A: We will the fact that root value should be positive.

Q: 86. If f is continuous and f (x) dx = 4, finc

A: Given that: ∫09f(x)dx=4

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

A:

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: The function given is  fx=5-x. The greatest integer function x is discontinuous at the integer…

Q: Which value must you assign to a so that f(x) is continuous at x = 6? 6 + 5x - x? x#6 f(x) = x-6 a x…

A:

Q: B/ For what value of a is fa continuous at every x? x2-1, x<3 fo 2ах, x2 3

A:

Q: Find the number a and b at which f is continuous everywhere? x+a if x 1

A: