Question

Suppose the polynomial f(x) has the following end behavior: as x approaches infinity, f(x) approaches infinity, and as x approaches negative infinity, f(x) approaches negative infinity.
Which of the following polynomials could represent f(x)?
There may be more than one correct answer. Select all correct answers.
A. −x3
B. −2x^5−x^3−4x
C. x^3+10x^2−5x+5
D. ​x^2+x−3
E. 7x^5+4x^2
F. x+8

Answer 1

Answer:

C. x³+10x²−5x+5

E. 7x⁵+4x²

F. x+8

Step-by-step explanation:

The graph they described should look something like the one i drew below.

So all you have to do is look at the number with the highest exponent.

If the exponent is an odd number and the x is positive then that function will have an end behavior like the picture i posted.

x³ is good

-x³ is bad because of the negative sign

x² is bad because exponent is even

x⁷ is good

123x¹ is good