Finding the rule for a linear function when given a table - How to solve math problems

👉 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 Function | Hard
✅ Graph a Piecewise Function | Easy
Graph a Piecewise Function | Easy
✅ Evaluate a Piecewise Function
Evaluate a Piecewise Function
✅ Find the Value that Makes the Functions Continuous
Find the Value that Makes the Functio...
✅ Write the Piecewise Function From a Graph
Write the Piecewise Function From a G...
✅ Write the Piecewise Functions From a Table
Write the Piecewise Functions From a ...

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