Question: 1. Write an equation of a rational function that satisfies all of these conditions. Show a sketch of the function and explain how each condition

1. Write an equation of a rational function that satisfies all

of these conditions. Show a sketch of the function and explain how

1. Write an equation of a rational function that satisfies all of these conditions. Show a sketch of the function and explain how each condition is satisfied. (6 marks) Vertical asymptote at x = - 8 and x = 5 . Horizontal asymptote at y = 0 x-intercept at (-2, 0) f(0) = - 2 . has a hole at x = 3 Equation: 2. Alvin runs 2 km to the bus stop, and then rides the bus 4.5 km to school. On average, the bus is 45 km/h faster than Alvin's average running speed. If the entire trip takes 25 min, how fast does Alvin run? (4 marks)

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