Finding a rule from a table of values using a combination of operations - Cool math

👉 How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear function, plugging any two sets of values from the table into the equation y = ax + b, where a and b are constants to be found and x, y are values taken from the table. Solving the two equations obtained simultaneously gives the values of a and b and hence the required rule.
Similarly, if the function is a quadratic equation, plugging any three sets of values from the table into the equation y = ax^2 + bx + c, where a, b, c are constants to be found and x, y are values taken from the table. Solving the three equations obtained simultaneously gives the values of a, b and c and hence the required rule. For tables with no prior knowledge of the type of function, a series of trial and error will lead us to the solution of the problem.
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Organized Videos:
✅ Piecewise Functions
• Piecewise Functions
✅ Graph a Piecewise Function | Hard
• Graph a Piecewise Func...
✅ Graph a Piecewise Function | Easy
• Graph a Piecewise Func...
✅ Evaluate a Piecewise Function
• Evaluate a Piecewise F...
✅ Find the Value that Makes the Functions Continuous
• Find the Value that Ma...
✅ Write the Piecewise Function From a Graph
• Write the Piecewise Fu...
✅ Write the Piecewise Functions From a Table
• Write the Piecewise Fu...
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