Changes to fast-food restaurants (which now generally display the caloric content of items on the menu) would be considered a(n) influence, whereas a parent who lets the child decide to select an extra-large helping of cheese would be considered a influence.

Distal, proximal

Explanation:

Changes to fast-food restaurants (which now generally display the caloric content of items on the menu) would be considered a distal influence, whereas a parent who lets the child decide to select an extra-large helping of cheese would be considered a proximal influence.  Distal influences are environmental influences that are not present in the child's immediate environment while proximal influences are those present in the child's immediate environment.

can you give a picture of the map, i'll be able to update my answer!

local max is .5

step-by-step explanation:

the local maximum is for x values between 2 and 4

it looks like the x value is 2.5 and the y value is .5