Question

What is the end behavior of the polynomial function? drag the choices into the boxes to correctly describe the end behavior of the function. put responses in the correct input to answer the question. select a response, navigate to the desired input and insert the response. responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. responses can also be moved by dragging with a mouse.

f(x)=−7x³ − x + 1
f(x)=2x⁴ + 6x² + 4
as x → − [[infinity]] as x → [[infinity]]

Answer 1

The end behavior of the polynomial function can be determined by looking at the degree and leading coefficient of the function.

Step-by-step explanation:

To determine the end behavior of the polynomial function, we need to look at the degree and the leading coefficient of the function.

For the function f(x) = -7x³ - x + 1, the degree is 3 and the leading coefficient is -7.

Since the degree is odd and the leading coefficient is negative, the end behavior of the function is: as x → -∞, f(x) → -∞ and as x → ∞, f(x) → -∞.

For the function f(x) = 2x⁴ + 6x² + 4, the degree is 4 and the leading coefficient is 2.

Since the degree is even and the leading coefficient is positive, the end behavior of the function is: as x → -∞, f(x) → ∞ and as x → ∞, f(x) → ∞.