Find the area of the shaded region

What is the equation of the graph that represents f(x)=x^4 stretched vertically by 2 and shifted up 3 spaces

Algebra 1: unit 6 part 2 of test a) the table shows a linear function. x 0 1 2 3 5 13 21 29 37 45 53 (a) determine the difference of outputs of any two inputs that are 1 unit apart. show your work. (b) determine the difference of outputs of any two inputs that are 2 units apart. show your work.

Pls! does anybody know a shortcut for answering these types of questions in the future?