Question

Will Give Medal and follow for correct answer. :)

What is the end behavior of function f(x) = -x^3 + 2x^2+4x+5?

a) up on the left, up on the right
b) up on the left, down on the right
c) down on the left, up on the right
d) down on the left, down on the right

Answer 1

look at the highest power (exponent), which is x^3

x^3 is an odd power, so it goes up on the right and down on the left

now, when we add a negative sign in front of x^3, it switches directions, so in the end it goes down on the right and up on the left