Consider the leading term of each polynomial function. what is the end behavior of the graph? write 2x^2 (4x^2 - 3x^3) in standard form

polynomial-function
standard-form

#1

consider the leading term of each polynomial function. what is the end behavior of the graph? write 2x^2 (4x^2 - 3x^3) in standard form. then classify by degree and number of terms.

Answer:

Standard form : f(x) = -6x^5 + 8x^4
5th degree polynomial with two terms.
We see that to know the end behavious we put limit x tends to infinity or -ve infinity in which cases the polynomial goes -ve infinity and +ve infinity respectively.