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Question 809254: My daughter came home from school with math homework and we need help because honestly i don't get it either. so it says Each set of ordered pairs represents a function.Write a rule that represents the function. The ordered pairs are (0,0) (1,0.5) (2,2) (3,4.5) (4,8). Please help because it is due on Friday.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! Your ordered pairs can be put into an x,y list list so:
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0, 0, 1, 0.5, 2, 2, 3, 4.5, 4, 8
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if you plot your ordered pairs on a graph, the points are close to being on a line, but are not perfectly linear.
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the proper way to handle this is to do a linear regression over your ordered pairs, which you can easily do by copying and pasting the above x,y list into this page:
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https://sooeet.com/math/linear-regression.php
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user the slope (m) and y-intercept (b) from the result given by that page, and plug them into this equation:
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y = mx + b
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when you plug the resulting m and b into the above equation, you have the answer.
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
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Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
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