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Determine the exact value of x. https://i.gyazo.com/d26e81c9ec059bbaeea30b2925c4fa64.png
Compare each the arithmetic and geometric sequences to a function that we covered in a previous unit. Use an example in your explanation. https://i.gyazo.com/ed0d691f8fba1d844c9e021e9634dd61.png
Transform the graph of into . Show a table of values and a graph (neatly sketched by hand) for each step of the transformation starting from https://i.gyazo.com/aebe91bd71d071475470272515b30d14.png
Prove that f and g are equivalent using both the graphical and algebraic approach. If they are not, provide a counter-example that shows how they are not equivalent. https://i.gyazo.com/df6c283c040522b4baab4e52d0b91104.png
Following one side of a new street in a neighbourhood, the house numbers increase by six. The house number of the first house on the street is 319. Express this sequence recursively and explicitly. https://i.gyazo.com/d767c3f3326c6bf29fb188a8c2bec5f1.png
A bacteria culture population of 50 bacteria doubles in size every 20 minutes. (8 marks)a. Establish the function rule that models this situation and graph it.b. How long will it take for the bacterial culture grow to a population of 250 000?https://i.gyazo.com/2983af215c10aa16297e9001aa2d5210.png
Tom and Kim are arguing about the following functions, Tom says that f and g are equivalent while Kim says that they can never be the same same since they do not have the same restrictions. Explain and justify their point of view and explain who you think is correct. https://i.gyazo.com/c0627d789c4cc96026e63941f2653dd3.png
You have learned about quadratic and linear function in earlier grades. Explain in a variety of ways how you can distinguish the exponential function from the quadratic function and linear function . (Hint: compare the rate of change using finite differences in tables of values; identify a constant ratio in the table of values). https://i.gyazo.com/28335b11d0f859c660a9c40ff0de71b5.png
Determine the period of each of the following periodic relations, and whether the relation is a function or not. https://i.gyazo.com/bd12fa6a6a045a6b880f161d12b77d8b.png a. https://gyazo.com/635e88d3e318e143251d67fe445b69fe b. https://gyazo.com/75176d7e67bb7f8d19c0b08993e724fc c. https://gyazo.com/da4dfae0227b8ee777c1ea8de4904a71
Simplify and state the restrictions if any https://i.gyazo.com/e79670cc5710a35b71d72c85f9dea6dd.png