8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for x < 2 f(x) = 10 for x = 2 + Bx + 2 for x > 2 ^ Ax³

Q: Given h(x)=−2x^2+x+1, find the absolute maximum value over the interval [−3,3].

A: Find h'(x) to find the critical points.The x-coordinate for critical point is (1/4).

Q: Let f(x)=x^2−8x+5 with domain 0<x<4 Calculate (f^−1)′(−2)

A:

Q: The leading behavior h(infinity)(x) for h(x) = (1.3x+(x^3.2)+(e^2.4x))/(1.3+3.2x+(2.4x^2)) at…

A:

Q: value of x does the function f(x)=x^3-3x^3 attain the absolute maximum in the interval

A: Given, f(x)=x3-3x3=-2x3 Interval = (-1,4)

Q: Find the value of k which makes F(x) =(x+k)/(4k-1) if x&lt;=0 and F(x)= x^2+2x+k if x&gt;0 if…

A:

Q: Consider the interval [-2, -1].  According to the Intermediate Value Thereom, which of the following…

A: Intermediate Value Theorem:- If a function f(x) is continuous on the interval (a,b) and have value…

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Given f()= 2x + 1 and ()= r*+ 2x-1, fnd (f- (1).Then valute the difence when x=2.

A: Sum and difference of the two functions

Q: ind the exact location of all the relative and absolute extrema of the given function: h(t)= 2t^3…

A: find critical point and check sign of double derivative at critical point

Q: Find f" (x) if f (x) = 3(2x¹ + 2x² + 1)¹. 48 (2x³ + x) (2x² + 2x² +1)³ 48 (6x² + 1) (2x² + 2x² + 1)²…

A:

Q: Find ao of the function f(x) =÷(n - x)2 | О п^2/12 5 T^2/6 5 T^2/12 O T^2/6

A:

Q: Let f() - 4x2- 19x, Determine the largest n for whichfe C.

A: Given fx=4x223-19x7111.  f∈Cn implies that nth derivative fn exists and continuous. Consider…

Q: Giren f(e) = 2x+1 and g(4) = x*+ 2x-1, in (- () Then valute he difcene hen x=2.

A:

Q: Let f(x)=6x+1 and g(x)=5-x^2 , find (f o g)(x) a. x^2 b.-6x^2+30 c.-6x^2+31 d.-36x^2-12x+4 e.…

A:

Q: f(x) = x(6 – x)-

A: Given :f(x)=xa(6-x)b 0≤x≤6