which function can be used for interpolation
Answers
Answer:
the mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing new data points within the range of a discrete set of known data points.[1]
In engineering and science, one often has a number of data points, obtained by sampling or experimentation, which represent the values of a function for a limited number of values of the independent variable. It is often required to interpolate, i.e., estimate the value of that function for an intermediate value of the independent variable.
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Answer:
The correct answer is Polynomial =Algebraic expressions called polynomials including coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents, but not division by variable.
Step-by-step explanation:
Because they are simpler to evaluate, differentiate, and integrate, polynomials are frequently employed for interpolation (also known as polynomial interpolation). It may be demonstrated that, given n+1 data points, a polynomial of order/degree n can always be found to pass through or duplicate the n+1 points.
In engineering and research, it is common to have several data points that, by sampling or testing, indicate the values of a function for a small set of independent variable values. Interpolation, or estimating the value of that function for an intermediate value of the independent variable, is frequently necessary.
Why polynomials are the most commonly used functions for interpolations:
Because they are simple to evaluate, polynomials are the most often used interpolants. distinguish, and. Integrate.