Show your solution to support your answer. 5. Academic Integrity! Do not allow others to diminish the value of your honest efforts and achievements. Best of luck! 1. Sketch the graph with 2 periods. Determine the domain and range of each function. (15 pts each) 1. h(t) = 3 + 2sin 3(t + 1) 2. s(t) = - tan(2t - ") 3. g(x) = 1 -4sec(x - 1) Il. The variable start Zeta Gemini has a period of 10 days. The average brightness of the star is 3.8 magnitude, and the maximum variation from the average is 0.2 magnitude. Assuming that the variation in brightness is simple harmonic, find an equation that gives the brightness of the star as a function of time. (10 pts)