Question

When comparing functions, such as Seth’s scenarios for travelling to school, will the function with the greatest initial value continue to be the greatest as time increases? Explain why.

Answer 1

Answer: No

Step-by-step explanation: No. Having the greater initial value does not mean that function will always have the greater y-value, because that also depends on the rate of change. If the function with the larger initial value has a smaller rate of change, it may result in the output becoming smaller at some point.

Answer 2

It will depend whether is function time dependent or not.

Explanation:

If the function is time dependent, the function with greatest initial values continue to be greatest as time increases.