Question

2.
even degree or odd degree?
end behavior:
x-intercepts:
y-intercept:
increasing interval:
decreasing interval:
relative minimum:
relative minimum:

Explanation:

1. Even Degree or Odd Degree?: The end behavior (both ends go in opposite directions: left up, right down) indicates an odd-degree polynomial.
2. End Behavior: As $x$ approaches positive infinity ($x\to+\infty$), the function values approach negative infinity ($f(x)\to-\infty$). As $x$ approaches negative infinity ($x\to-\infty$), the function values approach positive infinity ($f(x)\to+\infty$).
3. X-Intercepts: These are the points where the graph crosses the x-axis, found directly from the plotted points.
4. Y-Intercept: This is the point where the graph crosses the y-axis, given on the graph.
5. Increasing Interval: The function rises as $x$ increases between its relative minimum and relative maximum.
6. Decreasing Interval: The function falls as $x$ increases when $x$ is less than the relative minimum, and when $x$ is greater than the relative maximum.
7. Relative Minimum: The lowest point (valley) of the graph, given as a coordinate.
8. Relative Maximum: The highest point (peak) of the graph, given as a coordinate (note: the original has a typo, this is the relative maximum).

Answer:

Even Degree or Odd Degree? Odd Degree
End Behavior: As $x\to+\infty$, $f(x)\to-\infty$; As $x\to-\infty$, $f(x)\to+\infty$
X-Intercepts: $(-2.84, 0)$, $(1, 0)$, $(2.52, 0)$
Y-Intercept: $(0, -4)$
Increasing Interval: $(-1.23756, 1.82423)$
Decreasing Interval: $(-\infty, -1.23756)\cup(1.82423, +\infty)$
Relative Minimum: $(-1.23756, -7.07453)$
Relative Maximum: $(1.82423, 1.93601)$