Using function concepts, it is found that:
1) The domain is [tex]x \in [-4,4][/tex].
2) The zeros are [tex]x = -2[/tex] and [tex]x = 2[/tex].
3)
- The function is increasing for: [tex]x \in [-4,-2] \cup [-1,1][/tex].
- The function is decreasing for: [tex]x \in [-2,-1] \cup [1,4][/tex].
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Item 1:
- The domain of a function is the set that contains all input values.
- On a graph, it is the values that the horizontal axis, that is, the x-axis assumes.
- In this graph, it is values of x between -4 and 4, thus, the domain is: [tex]x \in [-4,4][/tex].
Item 2:
- The zeros of a function are the values of x for which y = 0.
- In the graph, it is the values of x for which it touches or crosses the x-axis.
- In this function, it is x = -2 and x = 2.
Item 3:
- On a graph, a function is increasing if it is pointing upwards.
- Thus, for this problem, it is increasing for: [tex]x \in [-4,-2] \cup [-1,1][/tex].
- It is decreasing if it is pointing downwards.
- Thus, for this problem, it is decreasing for: [tex]x \in [-2,-1] \cup [1,4][/tex].
A similar problem is given at https://brainly.com/question/10891721
