Question

X
-3
-2
Intro
-1
0
1
2
3
f(x)
-15
0
3
0
-3
O
15
Predict which statements are true about the intervals of
the continuous function. Check all that apply.
Of(x) > 0 over the interval (-3).
Of(x) ≤0 over the interval [0, 2].
Of(x) <0 over the interval (-1, 1).
Of(x) > 0 over the interval (-2, 0).
f(x) ≥ 0 over the interval [2, ..).
Done

Answer 1

Answer: B, D, E

Step-by-step explanation:

Statement 1 cannot be true because f(1)<0.

Statement 2 might be true.

Statement 3 cannot be true because if f is continuous, then for some value between -1 and 0, f(x) is positive by the Intermediate Value Theorem.

Statement 4 might be true.

Statement 5 might be true