Final answer:
To graph fx = -ln(x+1) + 2, it's important to consider the domain and transformations and to remember the function decreases as x increases and is shifted upward by 2 units.
Step-by-step explanation:
To graph the function fx = -ln(x+1) + 2, you would need to be aware that it includes the natural logarithm function, which implies that the domain of the function is x > -1 because the ln function cannot take non-positive arguments. The graph will have a vertical asymptote at x = -1, and since the function includes a negative sign before the ln function, it will be a reflection over the x-axis, indicating the graph will decrease as x increases. Additionally, the graph is translated up by 2 units due to the '+2' outside the natural logarithm function.
When graphing such functions, you may use a graphing calculator. For calculators that allow direct input of functions, simply type in the equation in the 'Y=' section. If your calculator has a STAT function as described in the reference, you may first input the X values into a list and use regression techniques to fit a curve, although for a logarithmic function, this may not be directly applicable.