In each part of this question, you are asked to give an example of something, and show that it is an example. (a) A bijective function f: Z→ N. (b) A surjective function R→ Q.

u5 du Y = 8z 1+ ut dz [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary (, ), etc. ]

Q2. Let S= f(r) = 4m² be a function whose input (r) is the radius of a sphere (in inches) and whose output (S) is the surface area of the sphere. a) What is the domain of this function? b) Function f has the inverse. Explain why. c) Describe what f¹ does, that is explain what the inputs and outputs are in the context of the question. d) Describe, in words the meaning of f-1 (200) and evaluate the value. e) Explain what it means to solve the equation f(r): = 200? f) Compare the answers to d) and e). What's your conclusion? Write it by completing the sentence f-¹(200) is such a number r, that = 200 g) Based on part f) write the general statement about an inverse ƒ¯¹ f¹__) is such a number r, that_

Which of the following statements describes a component of the domain of the function = 2tan () - 1? A B C 16 EN X H D x 2π x=-4π