2. State which part(s) of the denition is violated at the discontinuity. 3. Give a real-life example (not mentioned in the lesson) of a situation that is continuous. Sketch a graph or provide a table to represent the situation. 5. Some countries have progressive income tax systems. One such system is modeled in the piecewise function below. 0.02953: if 0 150,000 a. Sketch a graph of this function. b. Discuss the types of discontinuities seen in this graph. c. Some people argue that progressive income tax systems disincentivize individuals from earning more money since they are taxed at a higher rate when they move from one income bracket to another. While others argue that the increase in taxes doesn't offset the gains made from an increased income and therefore isn't a disincentive to earning more money. Analyze this specic tax system and discuss how the discontinuities might lead a person to make one argument over the other