Question

Sketch the graph off by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist. enter DNE.) 

f(x) = 1/4(7x - 1), x≤3 

absolute maximum value _______ 

absolute minimum value _______ 

local maximum values) _______ 

local minimum values) _______ 

Answer 1

Differentiating with respect to x

For critical points

There is no solution for f'(x)=0

so there is local maximum or minimum

Now boundary points

x=3

Absolute maximum value : 5

Absolute minimum value : DNE

Local maximum value(s): DNE

Local minimum value(s): DNE