Determine the values of a and b such that the function is continuous on (-00, oo f(x)-ax+b, -l

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

A: The given function fx=xx2+x+2 is in gxhxform. The numerator gx=x is continuous for all x∈-∞,∞ in its…

Q: Find values of the constants a and b, that make the function f(x) continuous everywhere. (2x3 + x +…

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Q: Determine whether function is continuous and/or differentiable at x = 1. f (x) = 1/x

A: Consider the given function fx=1x

Q: Describe the interval(s) on which the function is continuous. f(x) = 3 − √x

A: Given function is

Q: Describe the interval(s) on which the function is continuous. f(x) = (x + 1)/√x

A: We can not have negative number inside the square root.  So, x≥0   And we can not have 0 in the…

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

A: Given: fx=xx+3

Q: f(x)=210, where is it continuous?

A: Given: fx=210 We know that graph of given function is horizontal line for every value of x

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: Find the values of x for which the function is continuous. (Enter your answer using interval…

A: The function is given as fx=4-x      if x<3 2x-5    if x≥3 find values of x for which the…

Q: Let f be a continuous function such that -6 [', f(x) dx = 9. What is the value of -3 f(x) dx = -10…

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Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

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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: Find the constant a such that the function is continuous on the entire real line. (x) = {4x?, ах —…

A: We have to find a

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Consider the given function: fx=x-1x-1 This can be written as a split function: fx=-1x&lt;11x&gt;1…

Q: Let I be an interval disjointed from {-1, 1} . Prove that the function f(x) = x + (1/x) is…

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Q: b) State what it means for a function to be continuous at a point x = a.

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Q: The function f(x) = 2 + 1/x is continuous on the following interval EXCEPT. O a. [-2,-1] O b. [1,2]…

A: At any point a for a function f(x) the limit limx→afx=L exists if the limx→a−fx=limx→a+fx=fa.

Q: Find the constant a such that the function is continuous on the entire real number line. S x + 5, x…

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

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: Determine if the function f(x)= are uniform X continuous on the interval I= [0,1]

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Q: Let I be the interval disjoined from {-1,1} .Prove that the function f(x) = x+(1/x) is…

A: Given that I is any interval disjoint from [-1,1]. Let I=(-∞,-1)∪(1,∞) f(x)=x+1x To show f(x) is…

Q: Determine if the given function is continuous on the given point and intervals.                -x2…

A: The given function is  fx=-x2+4 , x&lt;02x2-5x , 0≤x&lt;37-x  ,    x≥3 We have to check the…

Q: Find the constant a such that the function is continuous on the entire real line. (5x2, ах — 3, x 2…

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Q: The function f(x,y)=/26-2x²-y² is continuous at point (2,-3). .A False .B True

A: A function is continuous at a point if after putting the point in the function yields a positive…

Q: 3. f(x) = v2x – 5 at x = 3 -

A: (3) Given function is fx=2x−5 We have check whether the function fx is continuous or not at x=3 For…

Q: How many continuous functions f are there which satisfy (f(x))² = x² for all x?

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Q: Let f(x)=x²+2x if x<5 - Cx if x 25. For what value of the constant c is the function f continuous on…

A: We have to calculate the value of c

Q: Determine if the given function is continuous on the given point and intervals. Зх - 3x – 5, xs-1…

A: We know that, a function fx is said to be continuous at x=α if and only if limx→α-fx=fα=limx→α+fx We…

Q: Describe the interval(s) on which the function is continuous.                            f(x) =…

A: fx=xx2+x+2 Since there is no common factors in the numerator and denominator, therefore there is no…

Q: Determine where the function f(x) is continuous. f(x) = /2-x

A: We have to determine where th function f(x)=(2-x)^(1/3) is continuous

Q: Determine whether the function is continuous at the given points. x+2 if x22 : 2,0 x if x<2 f(x) =…

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Q: V16-x2 f(x) = at (-3,-1) x+1

A: Given function is fx=16-x2x+1 The interval is -3,-1 We know that function is continuous in any…

Q: Find the constant a such that the function is continuous on the entire real line. Ssin x g(x) = if x…

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Q: Find the constant a such that the function is continuous on the entire real line. (8x?, lax – 6, x2…

A: Given function f(x) = 8x2-x≥1ax-6, x&lt;4we find constant 'a' such that the function is continuous…

Q: 4x-8 i- -2 x +3a

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Q: Determined where the function f(x) is continuous

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Q: Find the constant a such that the function is continuous on the entire rea 6sin x X g(x) = a 8x if x…

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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: III. Show that the function is continuous on the specified interval. 11. f (x) = V3x – 5; [3,9]

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Q: Let f be a continuous function such that 10 9 f(x) dx = 5. What is the value of f(x) dx = -6 and…

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Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: A continuous function is a function having a smooth graph without any discontinuity. The…

Q: If possible, find numbers a and b so that fis continuous at every point x. x3

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Q: Redefine the function f to make it continuous at x = 0. -8x + 36 + x (х — 4) ; x + 0,4 f(x) = 4; x =…

A: Consider the condition for continuity.

Q: 4. For each part, find a real value c that makes f continuous at x=0, if possible. If not possible,…

A: A function is continious , when at that point limit of the function exists , and thatlimit is equal…

Q: Find the constant a such that the function is continuous on the entire real number line. Sx³, x 2…

A: Given : f(x) = x3,x≤2ax2,x&gt;2 and the function is continuous. To find : value of a?

Q: 1. Explain what it intuitively means for function f(x,y) to be continuous in some domain D.

A: To explain the meaning of the given statement.

Q: Let I be an interval disjointed from (-1,1) Prove that the function f(x) = x + (1/x) is increasing…

A: Solution: Consider the given function is: f(x) = x + 1x    ...(1) Also, the given interval Let I is…

Q: (c) Determine whether f (x) is continuous at x-2, where [4x+3, xs2 f(x)= 8-x, x2

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Q: Determine where the function f(x) is continuous. f(x) = Vx- 8 The function is continuous on the…

A: fx=x-8 The domain of given function is the set of all values of x for which x-8≥0⇒x≥8⇒x∈[8, ∞) Let c…