For what value of k will the function f be continuous on (-∞, 0)? { x2 – 16 if x + -4 f(x) = x + 4 k if x = -4 k =

Q: 1-5x if x <-5 3-x if-5<x<-2. Find f(-2). 15-x² Let f(x) = if x2-2 -5 9. 11 O000

A: Explained below....

Q: 5. Which of the has a domain of (-o, +c0)? a. f(x) = x b. f(x) = x2 c. f(x) = x d. f(x) = x*

A:

Q: 3.) For the functions f (x) = v16 – x and g(x) = 2x – 8 find (x) and give its domain in interval -…

A: It is known that fgx=fxgx.

Q: PROB.NO. 4 VERIFY THAT (X - 3 )(X - 21) = (X - 21 )(X - 3) = Xx - 5X + 61 FOR [i 2 0] X =0 30 0 0 4

A: To verify the given expression is followed by matrix X .

Q: mx 10 if x < - 4 Let f(x) = x² + 8x - 6 if x ≥ - 4 If f(x) is a function which is continuous…

A:

Q: For what value of the constant k is the function f continuous on (-∞, 0)? 5x2 – kx + 7 if x 7 k =

A:

Q: (x2 + 3x f(x) = 3 – 6x if x -2 Check the continuity of the function f(x) at x = -2

A:

Q: f(x) = x* + x³ – 2x² For the above function state all intervals of x where f(x) is positive.

A: solve the following

Q: the function f(x) = k(x - s)(x - t)(x - u)^2 has: * O 3 zeros O 4 zeros O no turning points O 4…

A: Zeros of a function are those points where function has value zero. Hence f(x)=0 implies…

Q: Show that the function x- 16 - f (x) = x + 4 4 - 10 x = 4 has a removable discontinuity at x = 4.

A: A real valued univariate function f=f(x) is said to have removable discontinuity at c in its domain…

Q: Find removable discontinuities in f(x)=9x5-3x2+1

A: To remove discontinuity we need to factor numerator and denominator.

Q: f(x) %3D — х3 + х2 — 8х + 4 1. 3.

A:

Q: (x2 – 4x lx + 2 if x > 2 2. Let f(x) = f(x) = find f (5). %3D %3D if x < 2

A: This question is related to functions, We will solve it using given information.

Q: x² – 49 .2 if x + -7 f(x) : x +7 -12 if x = -7

A:

Q: Is Z²-1 2-√√2²+4 analytic in 12/2

A: Given:We have to find the following function is analytic or not. =Ƶ2-1Ƶ-Ƶ2+4

Q: 2x-3 Let f(x)= Compute (1 -i/2). (1 – i/2)=

A:

Q: Determine the intervals of concavity for the function 9(x) = xª – x³ - x³ – x² + 8x – 5. Note: If…

A: Concavity.

Q: Given f(x) = - - 6x + 2, h(x) = 2(x – 6)(x+ 10) and g(x) =(x - 4)²+2 deter write f, g or h) has no…

A: Given,       f(x)=-34x2-6x+2h(x)=2(x-6)(x+10)g(x)=65(x-4)2+2

Q: Which function grows faster as O x → +∞ ? 3x¹ + 2x³ + 3x² +1 x³ ln(x² + 1)

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Q: Find the constant a, or the constants a and b, such that the function is continuous on the entire…

A: Given function is: fx=3x3,x≤1ax+5,x&gt;1 We know that a function is continuous at any point x=c if,…

Q: 173 5. Write the domain of each of the functions in interval notation 2x a. f(x)=- b. g(x)= V1- 3x…

A:

Q: f(x+h)-f(x) The difference quotient is defined as where h + 0. Find m for f(x) = x² – 9

A: Difference equation

Q: Find the value for k so that the function will be continuous at x = 2. 4x2 – 12x + 8 6 if x 2

A: