mathematics

A 2-column table with 7 rows. The first column is labeled x with entries negative 5, negative 3, negative 1, 1, 3, 5, 7. The second column is labeled f of x with entries 8, 4, 0, negative 2, negative 2, 0, 4.
Which is a valid prediction about the continuous function f(x)?

f(x) ≥ 0 over the interval [5, ∞).
f(x) ≤ 0 over the interval [–1, ∞).
f(x) > 0 over the interval (–∞, 1).
f(x) < 0 over the interval (–∞. –1).

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  1. just examine the choices.
    (a) is ok, because it works for x=5,7
    (b) fails because f(7) = 4
    (c) fails because f(-1) = 0
    (d) fails because f(-5) = 8

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