The polynomial function [tex]g(x)=-10x^7-9x^5+7x^3-8x.[/tex]. Option B is correct. When x ---> ∞ , g(x) --> -∞ and when x --> -∞, g(x) --> ∞ .
Given that,
polynomial function [tex]g(x)=-10x^7-9x^5+7x^3-8x.[/tex]
What is a polynomial function?
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
What is range?
The Range, it is the set of the values that come out to an outcome for a certain mathematical operation.
Since, In the question, polynomial function [tex]g(x)=-10x^7-9x^5+7x^3-8x[/tex] is given,
When the value of x = (0, +∞)
range of g(x) = (0, -∞)
Whn the value of x = (0, -∞)
range of g(x) = (0, +∞).
Thus, the polynomial function [tex]g(x)=-10x^7-9x^5+7x^3-8x.[/tex]. Option B is correct. When x ---> ∞ , g(x) --> -∞ and when x --> -∞, g(x) --> ∞ .
Learn more about polynomial function here:
https://brainly.com/question/12976257
#SPJ2
