_l Inequalities and Functions Group Assignment Assignment Requirements: - Justify answers by showing all your work (when applicable]. I All work should be organized and neat and use correct mathematical notation. - Organize all work and answers in sequential order 1) Use the graph of the given function,f(x), below to answer the following: Note-the graph window settings are xmin=-5, xmax=5, yminas, ymax=5 a) Use the graph to estimate the solution to f (X) S 0. State your answer in interval notation. b) Find an equation for the function. f(x) that models the given graph 2) . z . 1 a) A student states that the solutlon to 2x + 11x 2 6 Is 43.75 U(6,w). Is this correct? Explain your reasoning. b) A student states that the inequality Xz +9 2 6X has a solution of all real numbers. Is this correct? Explain your reasoning. 3) a) Solve the given inequality. State the solution in interval notation. h 4 x72ix b) Write a procedure that explains all the steps that someone would need to do perform to use a graphing calculatorto check their solution to the inequality given in part a. De thorough in your 59\"\" explanation so that someone that knows only how to change windows and graph lines in a graphing calculator would be able to follow these steps. Assume student is working in \"classic\" mode in their calculator or does not have \"mathprint\" mode option. 4) In your own words. describe what a function is. 5) Are f(x73) and f(x)7f(3)the same? Explain your reasoning 6) Given f0!) : , and simplify a) Find f(5+h:_f(5) h) Use your answer in part alto complete the given table: '1 f (5+ \"H\" (5) I: 1 0.5 0.1 0.01 0.001 0.000 1 c) What is happening to the h-values in this table? What do you notice about the values of f(5+h)*f(5) h in this table? 7) Find the domain of the following functions. State answer in interval notation and also set notation: 1 4 17 : b h t :Zt +w'3t+4 algm J 11x112x , () m