Question

A gardener plants a tree for his client. The function f(x) gives its height in feet x years after it's planted. What does f(15)=f(20) tell you?

Answer 1

The equation \( f(15) = f(20) \) indicates that the height of the tree 15 years after it is planted is equal to its height 20 years after it is planted. This means that between years 15 and 20, the tree's growth has plateaued or slowed down significantly, such that it does not increase in height during that period. In practical terms, it suggests that the tree has reached a certain mature height or that its growth rate has decreased significantly after 15 years.