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3 Bob is planning to take a tram to his destination Three different trams run...

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3 Bob is planning to take a tram to his destination Three different trams run at the same time but they appear to go different speeds One of them reaches its top spe almost immediately while the other two seem to start out slower and then become faster The distance 3 that each tram travels in a given time is represented by the following functions y 2x 1 2 1 y y 22 a If y represents the distance the tram travels what does a represent b On a separate piece of paper make a table of values and or graph each function Describe the shape of each graph and explain what about the function s equation causes it to have this shape c How many intersections are there and where are they How do you know Explain what each intersection represents d Which tram would be best for Bob Explain why e True or False Exponential functions will always eventually grow faster than polynomial functions Explain your answer 6

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