Answer
a) $0$
b) $0$
c) all x between x = 0 and x = 0.5
Work Step by Step
a)
average of change = $\frac{f(1)-f(0)}{1-0}$ = $\frac{[1(1-1)]-[0(1-0)]}{1-0}$ = $0$
b) the instantaneous rate of change is zero
c) the slope of the tangent line is positive between x = 0 and x = 0.5 so
all x between x = 0 and x = 0.5
