Question

Which describes the end behavior of the graph of the function f(x)=-2x^3-5x^2+x?

a. f(x) approaches infinity as x approaches negative infinity and f(x) approaches infinity as x approaches infinity
b. f(x) approaches negative infinity as x approaches negative infinity and f(x) approaches negative infinity as x approaches infinity
c. f(x) approaches infinity as x approaches negative infinity and f(x) approaches negative infinity as x approaches infinity
d. f(x) approaches negative infinity as x approaches negative infinity and f(x) approaches infinity as x approaches infinity

I do not understand end behavior and my lesson does not explain it very well. I also have no textbook for this class. Help is greatly appreciated. Thanks!

Answer 1

Pleaseee

Answer 2

end behavior is when x becomes very large (approaching infinity) in the positive and negative directions

the behavior is driven by the term with the largest exponent ... in this case, the x cubed term

the odd power means that x^3 has the same sign as x

the negative coefficient (-2) changes the sign, so that at the ends, f(x) has the opposite sign of x

read the answers carefully, and one will fit the bill

Answer 3

Is it d?

Answer 4

I am pretty sure it's right can you please check?

Answer 5

in d, are the signs for x and f(x) the same or different

did you read my first response/explanation?

Answer 6

C) f(x) approaches infinity as x approaches negative infinity and f(x) approaches negative infinity as x approaches infinity