Question

D. Lamar's teacher extended the graph as shown below and asked Lamar to write the function for the graph shown below using f(x) for the function name.

Answer 1

You can read the slope of the line directly from the graph:

m = rise/run = 1/1 = 1.  Also easily visible is the y-intercept, b = 1.

Thus, this linear function has the equation f(x) = x + 1.