Sketch the graph of a function that is continuous on an open interval (a ? , b?)but has neither an absolute maximum nor an absolute minimum value on (a? ,?? .)

STEP_BY_STEP SOLUTION Step_1 When an output value of a function is a maximum or a minimum over the entire domain of the function, the value is called the absolute maximum or the absolute minimum. Let f be a function w ith domain D and let c be a fixedconstant in D . Then the output value f( ) is the 1. Absolute maximum value of f on D if and only if f(x) f(c) , for all x in D. 2. Absolute minimum value of f on D if and only if f(c) f(x) , for all x in D. Step_2 In the above graph the...