Use the leadingterm test to match the function fx x6 2x5

Use the leading-term test to match the function f(x) = -x^6 + 2x^5 - 3x^2 with one of the following graphs. Choose the correct graph below.

Solution

Leading coefficient of f(x) = -1 , It means when x will approach to infinity or -infinity , in both case graph will approach to - infinity , Hence choice A is correct.
Because In only choice A graph is apporaching to - infinity , when x apporach to infinity