Question

What can you say about the end behaviour of the function f(x)=-4^6+6x^2-52

Answer 1

x ->∞

f(x) -> ∞

x ->-∞

f(x) -> ∞

Explanation:

To easily solve this problem, we can easily plot the equation in a calculator and verify the end behaviour of the function

f(x) = -4^6+6x^2-52

As x goes to infinity, the function f(x) also tends to infinity.

Please se attached graph for clarification.

f(x) is a cuadratic function, with positive leading coefficient so this behaviour is expected.