The corresponding polynomial function is all options are correct.
What is a polynomial function ?
A polynomial function is a function such as a quadratic, a cubic, a quartic, and so on, involving only non-negative integer powers of x. We can give a general definition of a polynomial, and define its degree.
How to identify the polynomial function ?
In the given question, four options are given for function f(x) .
We have,
- f(x) = [tex]x^{2} + 5x - 1[/tex] which is a quadratic polynomial function of degree 2.
- f(x) = [tex]x^{2} + 4x - 5[/tex] which is a quadratic polynomial function of degree 2.
- f(x) = [tex]x^{2} + 5x - 5[/tex] which is a quadratic polynomial function of degree 2.
- f(x) = [tex]x^{2} - 4x - 5[/tex] which is a quadratic polynomial function of degree 2.
Thus, all the following Options represent a polynomial function of f(x) having degree two.
Therefore, the corresponding polynomial function is all options are correct.
To learn more about polynomial function, refer -
https://brainly.com/question/9269445
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