The valid prediction is f(x) ≥ 0 over the interval [–1, 1]
The question seems to be incomplete the complete question is given in the image!!!!
A function from a set X to a set Y is an assignment of an element of Y to each element of X. The set X is called the domain of the function and the set Y is called the codomain of the function.
The given values for x = 3 , f(x) = -15 Here f (x) < 0
When x =0, f(x) = 5 Here f(x) > 0
So for f(x) ≤ 0 over the interval (–[infinity], [infinity]) is the wrong option
When x = 2 f(x)=-5 here f(x) < 0
So , f(x) > 0 over the interval (–1, [infinity]) is also a wrong option
When x = 1 f(x)=0 here f(x) > 0
So , f(x) < 0 over the interval (0, 2) is also a wrong option
When x = -1 f(x) = 0
When x = 0 f(x) = 5
When x = 1 f(x) =0
So , f(x) ≥ 0 over the interval [–1, 1] is the valid prediction
Learn more about Functions here
https://brainly.com/question/10439235
#SPJ4
