A graph shows the relationship between variables on a coordinate plane.
- The domain of the function is [-4,4]
- The zeros are: -2, 0 and 2
- The positive interval is (0,2)
- The negative interval is (-4,0) and (2,4)
See attachment for the given graph.
(a) Domain
This is the set of x values of the graph.
From the graph, the x value starts at -4 and ends at 4.
So, the domain is [-4,4]
(b) The zeros of the function
This is where the function touches the x-axis.
The graph touches the x-axis at -2, 0 and 2.
So, the zeros of the function are: -2, 0 and 2
(c) Positive interval
This is the x values, when the function has positive values.
The graph has positive values from x = 0 to x = 2
So, the positive interval is (0,2)
(d) Negative interval
This is the x values, when the function has negative values.
The graph has negative values from x = -4 to x = 0, and then from x = 2 to x = 4
So, the negative interval is (-4,0) and (2,4)
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