Which of the following correctly describes the end behavior of the polynomial function, f(x) = -3x4 +2x2 - x?
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A. Both ends go down.

General Formulas and Concepts:

Algebra II

Step-by-step explanation:

If we graph the function, we can see that when x goes to -∞, y also goes to -∞.

We also see that when x goes to ∞, y still goes to -∞.

Therefore, both ends of the graph would head towards -∞, making A. the correct answer choice.

Step-by-step explanation:

From the figure attached,

If the figures shown are congruent (Equal in shape and size), length of all the sides must be equal.

Therefore, sides sides CD and GH must be equal in measures.

Distance between the two points and is given by,

d =

Length of the side CD having ends C(-4, 4) and D(0, 5) will be,

CD =

CD =

     =

Length of GH having ends G(0, -4) and H(4, -5) will be,

GH =

      =

      =

Therefore, m(CD) = m(GH)

Similarly, we can prove all corresponding sides of two figures equal in measure.

This shows ABCD ≅ EFGH.