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Mathematics
Secondary 5 • December 11, 2024
Screenshot_20241210_122808_Snapchat.jpgI can't seem to understand how to do it, or how to start.

Answer (1)

Alloprof Answer
December 11, 2024
Thank you for your question!

There are a few helpful clues in the question and in the graph provided with it. Essentially, you need to determine what function approximates the value of Jack and Jill's house at each timestep, and then calculate its value at the present day. You can then determine by how much its value increased or decreased relative to the price at which it was bought.

From the question, one can tell that:
• The first function is an absolute value function with f(0) = 595 000. Then f(10) = 295 000.
• Over the next 5 years, the value of the house follows a square root function. There is a data point at eight years ago, where the house is worth 800 000
• Finally, the house is a rational function with a vertical asymptote of x = 13 and a horizontal asymptote of y = 500 000

Good luck solving it!

This webpage of the Alloprof website explains piecewise functions:
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