Demonstrate the graph of a forth degree polynomial function
To graph a fourth-degree polynomial function, you need to first find the
x-intercepts; for example you could use the Rational Root Theorem.
After finding the x-intercepts, the next best thing to do is to find the
y-intercept by plugging 0 into x and solving for y. Once you have both
your x-intercepts and y-intercept, graph them. Now, because you are
trying to graph a fourth-degree polynomial, both ends of the graph will
point in the same direction. Depending on if the function is positive or
not will determine which way the ends will point. If it’s positive, the
ends will face up: if negative the ends will face down. From there just
draw the graph and connect the dots.