- #1
MHD93
- 93
- 0
f(x) = (x^2)/100 + (x^3)/1000 + (x^4)/10000 + ... till the power infinity
A polynomial function is a mathematical expression that contains only variables, coefficients, and non-negative integer exponents. It can be written in the form of ax^n + bx^(n-1) + ... + c, where a, b, and c are constants and n is a non-negative integer.
To determine if a function is a polynomial function, you need to check if it follows the requirements of a polynomial function, namely having only variables, coefficients, and non-negative integer exponents. You can also try to simplify the expression and see if it can be written in the form of ax^n + bx^(n-1) + ... + c.
No, a polynomial function cannot have negative exponents. This is because a polynomial function is defined to have only non-negative integer exponents.
Some examples of polynomial functions are 3x^2 + 5x + 2, x^3 - 4x^2 + 6x - 2, and 7x^4 + 2x^3 - 5x + 1. These functions all follow the form of ax^n + bx^(n-1) + ... + c.
Yes, a polynomial function can have more than one variable. For example, f(x,y) = 2x^2y + 3xy^2 + 5x + 2y is a polynomial function with two variables, x and y.