How do you find the end behavior of #f(x) = - 6x^2 + 14x + 21#?

1 Answer
Aug 18, 2015

Answer:

It would fall to the left and fall to the right

Explanation:

End behaviour of a function is decided by the sign of its leading term. The leading term here is #-6x^2#. It would always be negative whether x is positive or negative. That means, as x approaches +#oo# or -#oo#, f(x) would always be negative. So, f(x) would fall to the left and also fall to the right in the interval (-#oo, +oo#)