Final answer:
To find the interval over which the function is increasing, one must look at the behavior of the function's slope. With the provided details, Option B) (0, [infinity]) indicates that the function is increasing from the point 0 onwards.
Step-by-step explanation:
To determine over what interval the function is increasing, we need to analyze the behavior of the function's slope. Given the details provided, lines are mentioned with increasing and decreasing slopes. If a line or curve of a function has an upward slope, it means that the function is increasing over that interval.
An upward slope that starts with a nonzero y-intercept and levels off indicates an initial increase, while an upward slope that begins at zero and increases in magnitude suggests a pattern of increase. Therefore, without the graphical representation or specific function, we would look for an option that suggests an increase from a certain point onwards. Option B) (0, [infinity]) represents the interval where the function increases from the point 0 to positive infinity, which corresponds to the idea of an upward slope starting from 0 or a nonzero y-intercept.
Hence, option B would be the interval over which the function is increasing, based on the information given.