The polynomic function that contains the points (0, 6), (3, 15.8) and (9.5, 0) is a quadratic function, whose model is y = -0.600 · x² + 5.066 · x + 6.
To determine the coefficients of a polynomic function we must know a set of distinct points, whose number is the same number of coefficients. In this case, we can derive a quadratic function, as quadratic functions have three coefficients:
y = a · x² + b · x + c (1)
Now we substitute x and y in (1) and solve the resulting system of linear equations:
c = 6
9 · a + 3 · b + c = 15.8
90.25 · a + 9.5 · b + c = 0
Whose solution is a ≈ -0.600, b ≈ 5.066 and c = 6.
The statement is incomplete. The complete form is shown below:
There is a polynomial function. Find the function of (0, 6), (3, 15.8) and (9.5, 0).
To learn more on polynomials: https://brainly.com/question/11536910
#SPJ1
