Graph of secant line

Question

How to Draw the graph of a function that has a secant line with m=3 between x=0 and x=2 , and a secant line with m=-1 between x=3 and x=4?

Answer 1

There are an infinite number of possibilities but here is one:

Just draw a line segment with slope 3 in between x = 0 and x = 2 (I chose to start at (0, 1) but you can start at any y-value) then draw a line segment with slope -1 in between x = 3 and x = 4. Then draw some random function that touches all the points.