3. Describe a function that has a. a domain of {x e R | 2

3. 4. 5. Describe a function that has a a domain of {x eR 12 S 10), and b. a rangeof{yeR15sy 10). Your function does not need to be a polynomial or rational function, and it can be described algebraically, as a graph, or in another form. [4 marks] Consider polynomial functions in the form f(x) axn + x. Use at least three examples to investigate the relationship between a, n, and the constant finite differences. Explain the steps you took in your investigation and any conclusions you found. [6 marks] Fully factor the following polynomials. Explain your thought process with your solution. a. f(x) 2x3 25x2 + 53x - 30 [3 marks] b. f(x) = x3 + marks]