Let k: [-1,1] – R be the function k(x) = sin(x). Show that one has |k(x) – k(y)| < 2|x – y|, for all x, y € (-1,1).

Q: Let f(x) f-¹(x) = 1 x + 11

A: we need to find the inverse of the function.

Q: 6. Are the following functions harmonic? If yes, find an analytical function correspondent f(z) =…

A:

Q: Determine and graph the domain set of the function f(x, y) = ln(x²+9y2-81) ==

A:

Q: Suppose f and g are positive functions. Is the following true or false? Vf,g:N → R f(x) E O(g(x)) =…

A: Big-Θ notation: A function g(n) is in Θ(f(n)) if there exist constants c1, c2, and N such that…

Q: x+7, -4 h er. f(0) = 7. f(1) = 8, f(2) = -5, and f(3) = -10, of b

A:

Q: 1. Describe all functions f such that f(r) ar² + bx +c and f(1) = 2 and f(-1) = 6.

A:

Q: Find a function f(1) such that | f(z)dr= 2² – 5.

A:

Q: Consider the function f: R → R defined by f(x) = x³ – 3x + 2. Then (A) ƒ is increasing on the…

A:

Q: Determine where the function f(x) = O A. (-∞, ∞) 1-00 O B. O C. O D. 3 3 3 (-∞0,²21) U ( 212,00) N/W…

A: we have to find out the values of x where function is continuous.

Q: Q1 a) let f be a function defined as f(x)=3x² + 2x². Find f(2), f(-1), f(1). b) Define functions f…

A: