use the leading coefficient test to determine the end behavi

use the leading coefficient test to determine the end behavior of the graph of the given polynomial function

f(x) = 6x^7 + 4x^6 + 5x^3 +6

Solution

f(x) = 6x^7 + 4x^6 + 5x^3 + 6

leading coefficient of the polynomial is 6x^7

since the degree is odd and leading coeffcient is positive the graph falls to the left and goes up on right side

so we can write end behaviour as

as f(x)---> - infinity , x --> - infinity

f(x) ---> + infinity , x ---> + infinity