Use the function f(x) = 2x2 − x − 10 to answer the questions.

part a: completely factor f(x). (2 points)

part b: what are the x-intercepts of the graph of f(x)? show your work. (2 points)

part c: describe the end behavior of the graph of f(x). explain. (2 points)

part d: what are the steps you would use to graph f(x)? justify that you can use the answers obtained in part b and part c to draw the graph. (4 points)