Answer:
x ->∞
f(x) -> ∞
x ->-∞
f(x) -> ∞
Step-by-step 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.
