Question

Can someone help me step by step? :)

I have the question attached, it's a picture and #6.

Answer 1

Can.We.See.The.Question?

Answer 2

absolute min or max: on domain
local: around a region
absolute max: x=0+1/infinity (highest point on the graph is at x=0, but the point is excluded, so its the next point to the right, which means we need to add the smallest value of x)
absolute min: x=4 (lowest point of the graph)

Answer 3

when a max or min appears, there is a change in the sign of the derivative. at the max or min point, therefore, the derivative = 0. this means we have 3 local min and 2 local max (absolute max and min are also local)

Answer 4

Uhm, I need like step by step to figure it out. Not just telling me it. I don't understand this topic, which means I need it explains in bits and slow, not chunks.. please lol?

Answer 5

ok, sorry, went too fast

Answer 6

the max point of a function is the highest value of y that an x can get. means that the maximum is the most high point of the graph.
same for min, it is the lowest.
the highest value on the graph is at x=0. however, there is an empty dot, which means that this point is not included in the function g(x). So, we need the closest point to x=0. we need to add the smallest number possible to x so it is nearer the 0. the smallest number is an infinitely small number, which could be written as \[1/\infty \]

Answer 7

okay.. So, would the abs max not exist? or is it 1/infinity.

Answer 8

which problem are you doing?

Answer 9

Number 6.