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3. Zuzus Sigmundi is a variable star. The average brightness of this star is 7.2 magnitudes and the maximum variation from the average is 0.9 magnitudes. The time between the maximum brightness and the next minimum brightness is 6 days. Consider a function, b, of the brightness of this star as a function of time. a. What is the period of this function? b. Draw a graph of the average brightness as a function of time (in days) over one period starting with the average brightness. Label your axes! (Note: you can choose to do part c first) c. Find an equation that gives the brightness of the star as a function of time. Define your variables