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diene
for end behavior, we need to consider 2 things: the highest exponent, and the coefficient of the highest exponent.
the highest exponent is 6, an even number, which means that the end behaviors will both be ∞ or -∞.
Since the coefficient is -4, a negative number, the end behaviors will both be -∞.
As x→ -∞, f(x)→ -∞. As x→ ∞, f(x)→ -∞.

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

The leading coefficient is negative so the left end of the graph goes down.

f(x) is an even function so both ends of the graph go in the same direction.

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