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9. a) Write an equation for a rational function whose graph has all of the indicated features: 5 i. x- intercept of-4 ii. y- interceptof-2

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9. a) Write an equation for a rational function whose graph has all of the indicated features: 5 i. x- intercept of-4 ii. y- interceptof-2 iii. vertical asymptote with equation x = 2 iv . horizontal asymptote with equation y=1 [2] b) Write an equation of a cosine function with a maximum value of 2, a minimum value of -6, a phase shift of 6 rad to the right, and a period of 12. [3] 10. Solve the following equation. Determine exact solutions for the following equation in the interval [0, 27t]. 6sin2 0 -5cos0 =+2, OSOs2n 11. a) Solve the following inequality algebraically: 2x -7x -4 x2 - 3x+ 2 - 20

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