Question

What is the quadratic approximation error bound?

A) Upper bound for approximation
B) Lower bound for approximation
C) Exact value of the quadratic function
D) Rate of convergence

Answer 1

The quadratic approximation error bound is the upper bound for approximation. It represents the maximum possible difference between the actual function value and the approximation value at a specific point.

Step-by-step explanation:

The quadratic approximation error bound is the upper bound for approximation.

When using quadratic approximation to estimate a function near a specific point, the error bound represents the maximum possible difference between the actual function value and the approximation value at that point.

In other words, the error bound gives us a measure of how accurate our quadratic approximation is. It tells us how much the actual function value can deviate from our approximation.

For example, if we have a quadratic approximation for a function f(x), and the error bound is 0.1, it means that the actual value of f(x) can be at most 0.1 units away from the approximation value provided by the quadratic approximation.