Question

ХBased on the table, which best predicts the end behaviorof the graph of f(x)?f(x)-6-20-5-4-3-2-101As xoo, fx) - 00, and as x, f(x) – 00.As X-oo, f(x) - oo, and as X - -co, f(x) – 4.O As X - co, f(x) – oo, and as X - oo, f(x) - 09.As x - 00, f(x) ---, and as Xoo, f(x) = -0.440-2.-6-1023

Answer 1

Given the table:

x f(x)

-5 -6

-4 -2

-3 0

-2 4

-1 4

0 0

1 -2

2 -6

3 -10

Let's find the best behaviour if the graph.

From the table, as the values of x increases, the values of f(x) decreases and as the values of y decreases, the values of f(x) decreases.

From the table of values, we can see that as x approaches negative infinity, f(x) approaches negative infinity.

Also, as x approaches infinity, f(x) approaches negative infinity.

Thus, we have the statement that best predicts the behaiour of the graph f(x):

As x ==> ∞, f(x) ==> -∞, and as x ==> -∞, f(x) ==> -∞

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