Explain what it means for a function to be Ω(1). Also explain what if means for a function to be Θ(1). Please provide example functions as well

Determine whether the following equation represents y as a function of x. 6xy = 12 function O not a function

Suppose that a company has decided to offer an annual raise based on the number of years a worker has been with the company. Let the raise be 2% if the time with the company is less than 2 years, 3% if it is between 2 and less than 4 years, and 4% if it is 4 years or more. Consider a particular worker with the current wage of 16ドル.52 per hour who has been with the company for 2 years. Set up code using if function that would determine the raise and print out the current and new wage rate. The printed result should "Between 1 and 65 there are 5 numbers divisible by 13."

For the first problem, in parts b and c, how are the variables being taken from functions that they are not defined in? To clarify, in part c, how is the variable "b" taken from fun2 when it is not defined in that in function. Shouldn't the answer there just be "b(fun1)"

9. Please just type the answer.

Determine if each function is injective, surjective or bijective. Give one counterexample for each that it is not. 1. function f from {a,b,c,d} to itself, where f(a) = d, f(b) = b, f(c) = a, f(d) = c

ts) The phase plot for an ODE - f(N) is shown below. (a) Which of these could be a plat of solutions y vs z comresponding to this CDE? A. B. C. D. You can cilck the graphs above to enierge them. OA. A OB. B OC. C OD. D (D) One equilibrium solution af this ODE is y which is chogse and another equilbrium solution of this CDE is y - which is choase (C) For which of the following value(s) of the initial condtion y(0) does the solution g(z) converge as z 00? Select all that apply DA. 0) - 3 OB. 0) - 3.5 OC. p(0) - 2 OD. (0) - -1