Determine where f(x): V4 - x2 is continuous. Express the answer in interval notation.

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: 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) = sec x/4

A: The denominator can not be 0.

Q: Is there a real function f(x) that is differentiable only at a point x?

A:

Q: is the function f(x) = 1/(x-2) continuous on [1,3]? Justify your answer.

A:

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

A: Given: fx=xx+3

Q: On what domain is the function f(x) = 3 + V5x – 20 continuous?

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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: f(x)% = x- 3x3 + 2x2-5x-7 at x = -1 %3D vnaud

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Q: Find the points of discontinuity of the function f(x)={1−x2,x<0x+2,x≥0 if they exist.

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Q: Consider the function f(x)=5x+6x^2 over the interval [0,1].

A: Given that :-         f(x) = 5x+6x2 over [0,1] (a)  By deviding the interval into n sub intervals of…

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

A: The objective is to determine whether the statement, " The function fx,y=26-2x2-y2 is continuous at…

Q: Define the function f(x, v) = 4x³-x³y-4y5 3x5-3y5 at the origin so that it becomes continuous there.

A: A function is said to be continuous at (a,b) if the the value of function at (a,b) is equal to…

Q: Let f(x) = V5x² – 20. Find everywhere f is continuous. -

A: Given fx=5x2-20

Q: Find a function f such that f (x) = 2x3 and the line 54x + y = 0 is tangent to the graph of f. f(x)…

A: Key point used: The slope m, of the tangent to f(x) at point h,k, is equal to f'x=h. Given:Eq of…

Q: let f(x) =x2 , on interval 0<x<2n, sketch

A: We have to sketch the graph of the function f(x)=x2 on the interval 0≤x≤2π.

Q: Determine where the function f(x) is continuous.

A: The given function is , fx =x-8

Q: The function f(x)=(2-x)/(3) is continuous at

A:

Q: At what points are the functions continuous? x + 3 f(x) 2 - et

A: The given function is fx=x+32-ex

Q: Determine the set of x-values where y = x - 4 r2 +9r+18 is continuous, using interval notation.

A:

Q: Find a function f such that f'(x) = 2x³ and the line 54x + y = 0 is tangent to the graph of f. f(x)…

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Q: Determine whether f is continuous or not at x = 2. Justify your answer and state your conclusion.…

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Q: Given f(x) = Vx and g(x) = |x – 2|, find 9. Determine the domain of the function in interval…

A: Given function :

Q: where is the function f(x)= llxll-2 continuous (or discontinuous)?

A:

Q: Describe the x-values at which f is differentiable.

A: Definition used -                       A function f(x) is differentiable at any point -…

Q: Determine the domain of the function and prove that it is continuous on its domain f(x) = √(x2+9)

A: Solution:Given     f(x)=x2+9To find the domain of the function  and to prove f is continous on its…

Q: f(x) = Vx-3

A: Given function is fx=x-3.

Q: f(x): 2x at x = 4 x2-3 f(x) = V3x - 10 at x = 2

A: According to question,a. Given function,fx = 2xx2 - 3

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 if f(x) is differentiable at x = 0 if

A: We will find out the required solution.

Q: Find the domain of the function. Express the exact answer using interval notation. f(x) = To enter…

A: Consider the function  f(x)=25x+8

Q: S(x) = 7x* – 1x* +2. | Use interval notation to indicate where f is continuous. Domain of…

A:

Q: Determine where the function F(x)=8x/x2+4 is continuous. The function is continuous on ?

A: Suppose   are continuous function at then rational function is continuous at   if .

Q: Determine where f(x) is continuous, algebraically. Enter the answer in interval notation.

A: Given data: The expression for the given function is f(x)=log18(10x+150)-7x. The given function is…

Q: At which interval of x is the function of P(x)=(sqrt(1-x^2)) discontinous?

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Q: Determine the set of points at which the function is continuous. F(x, y) - х-у 1 + x² + y2

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

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Q: find the value of c that make the function continuous

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Q: Find the values that make the piecewise function continuous: 2, XS-1 f(x) = ax + b, -1<x< 3 x2 3 -2,

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Q: Find a and b so that the function = { ax + b, 8x – 8x? + 4, ах + b, х -2 is both continuous and…

A: Continuity at x=-28-23-8-22+4=a-2+b-64-32+4=-2a+b-92=-2a+b→1

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 line. 5x², ах — 7, f(x)…

A: For a function to be continuous, the value of the left and right limits at critical point needs to…

Q: Is the function f(z) = (x2 - y2) + 2xyi entire? Why or why not?

A:

Q: Find the constant a, such that the function is continuous on the entire real line. ( 2x², f(x) = if…

A: Given the function is f(x) = 2x2,if  x≥1ax-1,if  x&lt;1

Q: Find the absolute extrema of the function f(x) = x³ 23-a on the interval

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Q: The function f(x) = k is continuous.

A: Given f(x) = k

Q: Is the function F(x) as given is constant, increasing, or decreasing on the interval (0, ∞)?…

A: Fx=∫x2x1t dt⇒Fx=lntx2x⇒Fx=ln2x-lnx⇒Fx=ln2xx          ∵lnx-lny=lnxy⇒Fx=ln2

Q: Use the definition of continuous to proce whether or not the function is continuous at x=5z (F2, D3)…

A: See the attachment

Q: Describe the x-values at which f is differentiable. Sx2 - 5, x 0 10 -1 0 1

A: Here, the given function is: f(x)=x2-5, x≤05-x2, x&gt;0 which is a piecewise function.