The domain of the graph is -∝ < x < ∝ and the range of the graph is y > -2. Also, the symmetry is x = -3
<h3>The domain and range of the graph</h3>
From the graph, we can see that the x values extend indefinitely
So, the domain of the graph is -∝ < x < ∝
However, the minimum y value is -2 and it increases from there
So, the range of the graph is y > -2
<h3>The intercepts</h3>
This is where the graph crosses the axes
So, we have the intercepts to be
- x-intercept = -1 and -5
- y-intercept = 1
<h3>Relative max and relative mins points and values, </h3>
The graph has no relative maximum and the relative minimum is (-3, 2)
<h3>Intervals of increase and decrease</h3>
There are the intervals where the function increases and decreases
So, we have the intervals to be
- Increasing interval: (-3, ∝)
- Decreasing interval: (-∝, -3)
<h3>Intervals of positive and negative</h3>
There are the intervals where the function is positive and negative
So, we have the intervals to be
- Positive interval: (-∝, -5) and (1, ∝)
- Negative interval: (-5, -1)
<h3>The symmetry</h3>
This is the line that divides the graph equal part
In this case, the symmetry is x = -3
<h3>The end behavior</h3>
Using the intervals where the function is positive and negative, the end behavior is
- As x ⇒ ∝, f(x) ⇒ +∝
- As x ⇒ -∝, f(x) ⇒ -∝
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