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!
6 answers
Pleaseee
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
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
Is it d?
I am pretty sure it's right can you please check?
in d, are the signs for x and f(x) the same or different
did you read my first response/explanation?
did you read my first response/explanation?
C) f(x) approaches infinity as x approaches negative infinity and f(x) approaches negative infinity as x approaches infinity
1 answer