PRECAL QUESTION The average slope formula is: [f(x2) - f(x1)] / [x2 - x1] PLEASE HELP

Question

The average slope formula is: [f(x2) - f(x1)] / [x2 - x1]

It tells us the average slope over the interval from x1 to x2. 

Take the average slope of the function y (x) = x^2 + 3x +1 over one unit intervals from 0 to 5.

Graph the numbers (slopes), and what type of function do you see? 

Now repeat the process for g(x) = x^3.

If you are not sure what type of function is gotten here, take the slope of the slope and graph that for a hint. 

HOW DO I GRAPH THIS

Answer 1

f(x1)=y (x) = x^2 + 3x +1 (1)

so

f(x2)=y (x+1) = (x+1)^2 + 3(x+1) +1=x^2+5x+5 (2)

(2)-(1)=2x+4