2. Let f:Z→Z be the function given by fAn) =3n+1. a. Is fone-to-one? Briefly explain why. b. Is fonto? Briefly explain why.

Q: On which interval f(x) = -2³ + 3x² - 4 is concave upward? O a. (-1,1) O b. 1 Od. >1

A:

Q: Sp

A: The question is asking to verify the statement that for all real numbers x and y, the product xy is…

Q: -. [T] Sketch a function that has the following properties: O Is a function O D: {xeR[ – 7 3} R:…

A: Topic:- function

Q: Evaluate the function at the given value of the input r6) = -9 p³ – 2 7 + 2, tmd r (-). O1.375-

A: Here we have to put the value of 'p' in the given function to get the solution.

Q: 3. Let h(x) = (f og)(x). Given f(x) = 3x2 +5 and g(x) = Vx – 3. a. Evaluate h(4). b. Determine fx).

A:

Q: Given a function f: A → B and subsets X,Y C B, prove that f"(XNY) = f(X)nf-(Y).

A: He we will prove the given result.

Q: 口[ A 9. Fill in the table of values. f(x) > V+2 2 f(x) = Vx+2 -3 -2 -1 6. a. 1 b.-2 С. -1 d. 2 e. 3…

A: A

Q: Sp

A: The question is asking if the product of two real numbers x and y, represented as 'xy', is equal to…

Q: 3. Let f : A → B. Then 1gf = f and f14 = f. Hint. You may use the fact that fg, for functions f, g,…

A: Let               f1 : X→Y , f2 : X→Y be two functions, then we say that the functions f1 and f2 are…

Q: Let f: R2 R2 be the function given by f(x, y) = (x + y, y). Prove or →>> 8. disprove: f is…

A: Function which is one to one

Q: Evaluate the function. 2. Find h(3,6) when h(x,y) = 3x +y J3x+y O A. 9 O B. 10 O C. 3/5 O D. 5/3

A: We have given function  hx,y = 3x+y2 Put x = 3 , y = 6 h3,6 = 3×3+62 h3,6 = 9+36 h3,6 = 45 h3,6 = 35

Q: Using the Envelope theorem, compute the slope of the following function y=-x² +9x

A:

Q: . Consider the function f: Z x Z → Z × Z defined as f(n, m) = (n +m, 3n + 4m). (d) Find the inverse…

A: I have find two equation in variables m & n and solved them