The end behavior of a function is determined by the term with the highest degree in the function. In this case, the term with the highest degree is 8x^5.

Since the coefficient of this term is positive, the function will rise to positive infinity as x approaches positive infinity. This is often written as:

As x → ∞, f(x) → ∞.

Similarly, since the degree of this term is odd, the function will fall to negative infinity as x approaches negative infinity. This is often written as:

As x → -∞, f(x) → -∞.

So, the end behavior of the function f(x) = -432x^3 + 48x^4 + 7056 + 5544x - 1984x^2 + 8x^5 is:

As x → ∞, f(x) → ∞ and as x → -∞, f(x) → -∞.

Question

The end behavior of a function is determined by the term with the highest degree in the function. In this case, the term with the highest degree is 8x^5.

Since the coefficient of this term is positive, the function will rise to positive infinity as x approaches positive infinity. This is often written as:

As x → ∞, f(x) → ∞.

Similarly, since the degree of this term is odd, the function will fall to negative infinity as x approaches negative infinity. This is often written as:

As x → -∞, f(x) → -∞.

So, the end behavior of the function f(x) = -432x^3 + 48x^4 + 7056 + 5544x - 1984x^2 + 8x^5 is:

As x → ∞, f(x) → ∞ and as x → -∞, f(x) → -∞.

Knowee AI · Accepted Answer

The end behavior of a function is determined by the term with the highest degree in the function. In this case, the term with the highest degree is 8x^5.

Since the coefficient of this term is positive, the function will rise to positive infinity as x approaches positive infinity. This is often written as:

As x → ∞, f(x) → ∞.

Similarly, since the degree of this term is odd, the function will fall to negative infinity as x approaches negative infinity. This is often written as:

As x → -∞, f(x) → -∞.

So, the end behavior of the function f(x) = -432x^3 + 48x^4 + 7056 + 5544x - 1984x^2 + 8x^5 is:

As x → ∞, f(x) → ∞ and as x → -∞, f(x) → -∞.

The function f, of, xf(x) is defined below. What is the end behavior of f, of, xf(x)?f, of, x, equals, minus, 432, x, cubed, plus, 48, x, to the power 4 , plus, 7056, plus, 5544, x, minus, 1984, x, squared, plus, 8, x, to the power 5f(x)=−432x 3 +48x 4 +7056+5544x−1984x 2 +8x 5

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