Let g be the function defined by
g(x)={x2−4x+5,9−2x,x<3,x≥3.
Which description correctly classifies the behavior of g at x=3?
a) Neither a maximum nor a minimum because g′(x) is not defined at x=3.
b) Relative maximum because g′(x) changes from positive to negative at x=3.
c) Relative minimum because g′(x) changes from negative to positive at x=3.
d) Relative minimum because g′(3)=0.