A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 15, negative 5, 0, 5, 0, negative 5. Which is a valid prediction about the continuous function f(x)? f(x) ≤ 0 over the interval (–∞, ∞). f(x) 0 over the interval (–1, ∞). f(x) ≥ 0 over the interval [–1, 1]. f(x)

Question

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 15, negative 5, 0, 5, 0, negative 5.
Which is a valid prediction about the continuous function f(x)?

f(x) ≤ 0 over the interval (–∞, ∞).
f(x) > 0 over the interval (–1, ∞).
f(x) ≥ 0 over the interval [–1, 1].
f(x) < 0 over the interval (0, 2).

Mercury · Answer

simply go through each statement, and evaluate whether it's true based on the numbers in the table

for instance, for the first statement: f(x) ≤ 0 over the interval (–∞, ∞). ---> are the f(x) values less than 0 across all possible x values?