Given:
To graph the given polynomial function, we can plug in any values of x to find values of h(x). The graph is shown below:
We also note that the x-intercept is the point on the x-axis, while the y-intercept is the point on the y-axis. Hence,
x-intercepts: (1,0), (-2,0)
y-intercept: (0,-4)
Tt can also be noted that (x − 1) occurs 3 times while (x+2) occurs 2 times. Hence, x=1 has a multiplicity 3, while x=-2 has a multiplicity 2.
aased on the graph, the end behavior would be: