For what values of k will the function below be continuous for all x? x³, xsk h(x) = x², x > k 1 and 2 O 12 and 1 O -1 and 1 O O and 1 O -1 and 0

Q: 11. What is the second term of (m + n)? O 125m*n O25m'n O25m O5m*n 12. One zero of flx) =x' + 2x-…

A: Solution: (m+n)5

Q: For what values of a is Jaʼx – 2a, x2 2 f(x) ( 12, x< 2 continuous at every x?

A: Given : The function is f(x) =a2x - 2a        , x ≥212,                     x&lt;2 .

Q: determine L−1[F].

A:

Q: 6.3 Let g: R → R be a real-valued function defined by g(x) = x² + 2x - 1. Let A = (-2,3], and B =…

A:

Q: D. Prove that f(x) = |x - 6| is continuous at all points c in R.

A: Given function is fx=x−6. We have to prove that the function fx=x−6 is continuous at all point c in…

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

A:

Q: X x² + 1 Let f: RR be defined by f(x) = f is a Borel function. O f is not a measurable function. a.…

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: The value of k that makes x2 – kx + 2x – 2k f(x) x # -2 x + 2 4, continuous at x = -2 is x = -2 O 2…

A:

Q: A function f is continuous on [-3, 5] and contains the points (-3, -4), (0, ƒ(0)), and (5, –3). If ƒ…

A:

Q: Find all values of h such that rank(A) = 2 A = 1 3 -4 h -1 1 0 3

A:

Q: Based on your knowledge of sequence that has been covered in the course ECON1003, classify the…

A: The given sequence 28, 21, 15, 10, 6,...... We have to determine whether the series is an arithmetic…

Q: Find the absolute extrema, if any, of the following functions on the given interval: a. f(x) = on [–…

A: Given

Q: : Find the value of k that makes function continuous at x = 5 5x? – k x 5 f(x) =

A: Limit of a function at a point exists if the left-handed limit and right-handed limits at that point…

Q: x+2, x0 a. (-0, 0) b. (-0, 0] [-1, 1) d. (0, 1] e. [0, +0) с.

A: A function f(x) is said to be discontinuous at x=a if limx→a+f(x)=limx→a-f(x)=f(a)

Q: Find the constant C such that * x3 – 3x + 8 < C, where x e [0, 3] | 18 O 23 14 17 O 26

A: We have to find c

Q: . Consider the function defined by f(x): x2 if x 3 . Which of the following statements is true, for…

A:

Q: Let f(x) = x³ – 6, – 3 < x < - 1 The domain of f- is the interval [A, B 1 where A and B = %3D

A:

Q: Determine the values of m and b such that function g is continuous at every real number: if r 1.

A: Since the function g is continuous.So, limx→1-g(x)=g(1)limx→1-x2-mx=-212-m(1)=-2m=1+2m=3

Q: Which of the following intervals will contain all of the function values of f (x) on the interval-4,…

A: We can solve it by cross check from given options  Let we select 0 from interval [-4,1] at x=0 f(0)…

Q: 3-Vx² +5 is co

A: f(x)=4-x3-x2+5,x≠2       =k, x=2

Q: 4 of 40 (17 complete) ▼ Find f(0) for f(x) given below. X-2 if x<9 f(x) = 3-x if x 9 O A. 3 O B. - 2…

A: