For what value of k is the function f continuous on (-o0, 00)? z – 1 ka² – a + 23 if a > -4 if z < -4 f(x) =

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

A: To find the value of a such that given function is continuous for every x. f(x)=a2x-2a,    x≥212,…

Q: Is the function g(x) continuous at x = 5? g(x)= O No 1 5X+7, 5x-13, for x>5 Choose the correct…

A: Given query is to find function is continuous or not at x = 5.

Q: Let f be defined as follows: Sx+5 for x> 5, f(x) = Зах for x <5 } For what value of a is the…

A: A function f is continuous at a if limx→af(x)=f(a).

Q: Q3) For what values of a and b are ax + 2b , y =x? + 3a -b, (3х -5, 0 2 Continuous at every x ?

A: Equate at given value

Q: For what value of c is the function defined below continuous on (-o, o)? – c², f(x) = { x - c², x<…

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Q: For what value of b is

A: The given function is continuous for all x&lt;0 and for all x&gt;0, because it is a polynomial…

Q: Q3) For what values of a and b are ax + 2b , y = x? + 3a -b, 3x-5, x 2 Continuous at every x ?

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Q: 3. Use the definition to show that the function f(x) = is continuous on the interval [c, o0), where…

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Q: For what values of a is

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Q: x< x3 B- If f(x) = Ax? is continuous at x = ; Find A? HIN IN

A: We are given : f(x)=x3       , x&lt;12Ax2     ,x≥12 is continuous at x=12 Condition for f(x) to be…

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

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Q: A. Consider the function defined by [x² +1, if x<5 f (x)={ |6x– 4, if x25 a. Is f continuous at x =…

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Q: 1. Given the function 2r + 1, r 1 Verify whether or not the function f is continuous at r 1.

A: the given function is: fx=2x+1,     x≤14x2-1,       x&gt;1 we have to verify whether or not the…

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: State the interval(s) over which the function f(x) = V16 – x² is continuous.

A: Given, fx = 16-x2   We have to state the interval over which the function is continuous.

Q: Find a value of x, if any, at which/(x)= Vx- 27 is not continuous.

A: We will check the continuity of the function

Q: Consider the piecewise-defined function Vx+ 1, x> 3; f(x) = { 2b, X = 3; x < 3. %3D ax + b, Supposef…

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Q: 45. For what value of a is x2 - 1, x < 3 2ax, f(x) = %3D 2ах, continuous at every x?

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Q: Find the value(s) of k that makes the function continuous over the given interval. a < k k < a S 3x…

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Q: -Q3/As the function f(x,y) = at (-1,2) xy 1 + x² + y² is Continuous

A: Here we have to check the continuity of the function at the given point.

Q: For what value of the constant c is the function f continuous on the interval (-0,00). f(x)={ cx+1 ,…

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Q: Q3) For what values of a and b are -x* +а, xsin + 1 0<xs y = bx3 + 2 , Continuous at every x ?

A: Explanation of the answer is as follows

Q: Consider the following. PX)={ S-5x, f(x)= x² – 2x + 5, X 4 Find the x-value at which f is not…

A: Consider the given function   Here the objective is to find the value of x at which f(x) is not…

Q: 2- For what value of the costant c is the function continuous at every number? F(x) = {x+c if x<2…

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Q: The function f(x) =x + 1/x is concave upward on none O (-1) O (0,) O (0,1) O (1,)

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Q: Determine a value of m (if possible) for which f is continuous at x = 4. mx – 48 if x<4 f(x) = 2 3x?…

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Q: Consider the following. S-3x, f(x)={2 - 2x+ 9, x > 2 Find the x-value at which f is not continuous.…

A: We will find the value of x at which the f is not continuous and whether the discontinuity is…

Q: 14. Consider the following function: if - 10 SIS0 3. h(r) = {15x - 3| if 0<<4 2r +1 if r24 What is…

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Q: For what value of k is the function f continuous on (-00, 00)? r +1 f(z) = kem? + 7x – 19 if a -5…

A: To find k value for given function Note : for a continuous function both left hand and right side…

Q: For what value of the constant a is the function continuous on (-0, 0). for r 1 f(x) ax a =

A:

Q: Q3) For what values of a and b are ax + 2b , y = {x? + 3a -b, (3x-5 , 0 2 Continuous at every x ?

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Q: Q3) For what values of a and b are -х2 +а , x<0 x in+1, 0 < x<- y = bx3 + 2, Continuous at every x ?

A:

Q: Q3) For what values of a and b are -x² + a , x< 0 1 xsin-+1 , 0 < x< y = bx³ + 2 , Continuous at…

A: See the attachment

Q: 2. Consider the function f with domain (-2, 0): 3|22 – 1| if – 2<r<1 2.r2 + 2x – 4 f(x) = 3 if r = 1…

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Q: Q3) For what values of a and b are (-x² + a , y = { xsin-+1, 0 < xs: bx³ + 2 , Continuous at every x…

A: See the attachment

Q: 3. For what value of b, f(x) is continuous at every x? f(x) = {, x -2

A: Given that, fx=x         x&lt;-2bx2      x≥-2

Q: Find the values of α and β such that the function f(x) =αcosx + 2 if x < 0  and f(x) = βe3x + αx2…

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Q: x+ (х,у) # (0,0) f(x,у) — 1-/x² +y² +1 k (х, у)%3 (0,0)

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Q: Find m so that f(x) is continuous at x = 2. x +4 if x 2 -

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Q: j(x) = v2x – 4 %3D

A: We have  jx=2x-4   Function is continuous when 2x-4≥02x≥4x≥2

Q: Find the value of k so that the function defined by f(x) =kr - 15 S2² + 25 x 5 |-

A: Given that, The function defined by fx=x2+25x≤5kx-15x&gt;5 is continuous at x=5. To find the value…

Q: Find the value of "k", given that the following function f(z) is continuous at z = 3 (x² -6z + 8, >…

A: Continuity

Q: 3. What value of k would make f (x) continuous at x = 3 ? 3.

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Q: For what values of a and b is ax + 2b, g(x) = {x? + 3a - b, 0<xS2 3x 5, %3D - continuous at every x?

A: The given function is gx=ax+2b,        x≤0x2+3a-b,  0&lt;x≤23x-5,           x&gt;2. For the given…

Q: | For what value of a is Sx² – 1, x< 3 |2ax, f(x) = continuous at every x?

A: Let f is continuous at x = 3 then left and right limit are equal.

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: If f(2) = 14, f' is continuous, and f'(t)dt = 23, what is the value of f(5)=? %3D

A: Given :

Q: Q3) For what values of a and b are ax + 2b , y = x2 + 3a -b, 3x-5, 0 2 Continuous at every x ?

A: We will check continuity at breaking points of the function. For continuity , left hand limit and…

Q: Q3) For what values of a and b are -x² + a , x Continuous at every x ?

A: