Factor 4x2 − 4x − 24 completely.

4x² - 4x - 24 = 4(x² -x - 6) = 4(x+2)(x-3)

The graph that best represents the function can be seen in the attached graph. What you should do is evaluate a large number of points in the function and find the result. Then graph. Remember that for x = 1 the LN of 0 is not defined since it tends to infinity.