Graphs of Polynomial Functions

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Use transformations to sketch the graph of g of x = 2 left paren x minus 3 right paren to the fourth + 1
Use transformations to sketch the graph of g of x = negative 1 half x to the seventh power minus 2
Determine the end behavior of f of x = 3x cubed minus 2x + 1
Determine the end behavior of g of x = negative x to the eighth power + 1
Determine the end behavior of h of x = negative 1 half x to the fifth power minus 2x squared + 3