Question

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

Answer 1

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`)