The domain of the graph is -∝ < x < ∝ and the range of the graph is -∝ < y < ∝. Also, the graph has no axis of symmetry
<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 < ∝
From the graph, we can see that the y values extend indefinitely
So, the range of the graph is -∝ < y < ∝
<h3>The intercepts</h3>
This is where the graph crosses the axes
So, we have the intercepts to be
- x-intercept = -4, -2 and 2
- y-intercept = -9
<h3>Relative max and relative mins points and values, </h3>
The graph has a relative maximum at (3, 3) and the relative minimum are (0.5, 10)
<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: (0.5, ∝) and (-∝, -3)
- Decreasing interval: (-3, 0.5)
<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: (-4, -2) and (2, ∝)
- Negative interval: (-∝, -4) and (-2, 2)
<h3>The symmetry</h3>
This is the line that divides the graph equal part
In this case, the graph has no axis of symmetry
<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) ⇒ -∝
Read more about functions at:
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