Posts tagged root of the function
Intermediate value theorem

The intermediate value theorem is a theorem we use to prove that a function has a root inside a particular interval. The root of a function, graphically, is a point where the graph of the function crosses the x-axis. Algebraically, the root of a function is the point where the function’s value is equal to 0.

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Using Newton's Method to approximate the root of a function

Newton’s method lets us approximate the solution of a function, which is the point where the function crosses the x-axis. Keep the following in mind when you use Newton’s method: 1) The function must be in the form f(x)=0, 2) The more approximations we take, the closer we’ll get to the actual solution, and 3) For each approximation, we have to use our answer from the previous approximation.

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