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For the given absolute value function, we have that:
y > 0 in the intervals (-∞, -3) and (-1, ∞)
y < 0 in the interval (-3, -1)
y = 0 for x = -3 and x = -1.
When the function is positive?
The function is positive when the graph is above the horizontal axis.
Here, we can see that the intervals where the graph is above the horizontal axis is are (-∞, -3) and (-1, ∞)
When the function is negative?
The function is negative when the graph is below the horizontal axis. In this case, we can see that the only negative interval is (-3, -1)
When the function is zero?
The function is equal to zero when it intercepts the x-axis, in this case, the function is zero for x = -3 and x = -1
If you want to learn more about absolute value functions, you can read:
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