👉 In mathematics, an interpolating function is a function that approximates a given function by a polynomial. This can be done efficiently and accurately, allowing for the calculation of values at points between known values without needing to know all the values of the original function. Interpolating functions are often used in engineering, physics, and other fields where accurate data is needed but there is not enough information to provide exact values. They are useful when the input data is continuous but the output needs to be discrete.