Question

Please help me answer this. I am confused about the question itself.

Answer 1

For this question, focus on what you know about f'(x), which tells you the slope of f(x) at a given point. 

a. f'(x) is negative when x is less than 1, and positive when x is more than 1. This means that the point (1,5) is the minimum of the function.

b. f'(x) is negative when x is less than 1, and negative when x is more than 1. This means that the point (1,5) is a point of inflection.

c. f'(x) is positive when x is less than 1, and negative when x is more than 1. This means that the point (1,5) is the maximum of the function.

d. f'(x) is positive when x is less than 1, and positive when x is more than 1. This means that the point (1,5) is a point of inflection.