Find global and local maxima and minima, given the graph of the function

Question

My attempts were local max: 3,8 - local min: 5 - global max= 3, global min= 5 Module is giving me incorrect. No partial credit. So I can't tell where the problem lies.

local max: 6, 4.?? local min: x= 2, 5 global max= none, global min: 2.

Answer 1

• First, make sure they are asking for the location ($x$-coordinate) of the extrema and not for the value ($y$-coordinate).
• I think you have missed a local min.
• The peak at $3$ is not a global max because parts of the graph go above that peak!