Consider the natural log function given below:

() = ln( + ) +

a) For the function above, determine the following in terms of A, B, C and D

x-intercept(s)

y-intercept(s)

domain

range

b) State whether the values of A, B, C and D should be positive or negative to create a function

with the following properties:

• Increasing at an increasing rate
• Increasing at a decreasing rate
• Decreasing at a decreasing rate
• Decreasing at an increasing rate