Question

Which is a valid prediction about the continuous function f(x)? f(x) ≥ 0 over the interval [5, [infinity]). f(x) ≤ 0 over the interval [-1, [infinity]). f(x) > 0 over the interval (-[infinity], f(x) < 0 over the interval (-[infinity]. -1).​

a- f(x) 20 over the interval [5,-).
b- f(x) 0 over the interval (-1,-).
c- f(x) > 0 over the interval (-4,1).
d- f(x) < 0 over the interval (0, -1).

Answer 1

The valid prediction about the continuous function f(x) is f(x) > 0 over the interval (-[infinity], -1).

Step-by-step explanation:

The valid prediction about the continuous function f(x) is that f(x) > 0 over the interval (-[infinity], -1). This prediction aligns with the given condition that f(x) is less than 0 over the interval (-[infinity], -1). It indicates that the function will have positive values in the interval (-[infinity], -1), satisfying the given condition.