For the given function, we have that:
- The function has no zeros.
- The function is positive for x ≤ 0.
- The function is negative for x > 0.
What is the domain of a function?
The domain of a function is the set that contains all possible input values for the function. In a graph, it is the set that contains all the values of x of the function.
Hence, the domain is [-4,4] for the given function.
What are the zeros of a function?
The zeros of a function are the values of x for which f(x) = 0, on the graph they are the values of x when the function crosses the x-axis.
For this problem, the function does not cross the x-axis, hence it has no zeros.
When a function is negative and when it is positive?
Looking at the graph of the function, we have that:
- It is positive if it is above the x-axis.
- It is negative if it is below the x-axis.
Hence, for the function in the given graph:
- The function is positive for x ≤ 0.
- The function is negative for x > 0.
More can be learned about functions at https://brainly.com/question/10891721
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