对称轴x=1,顶点(1,-4)
(1)
t+1≤1即t≤0时
y=f(x)在[t,t+1]单调递减
g(t)=f(t)=t²-2t-3
h(t)=f(t+1)=t²-4
(2)
t≥1时
y=f(x)在[t,t+1]单调递增
g(t)=f(t+1)=t²-4
h(t)=f(t)=t²-2t-3
(3)
t1即0
对称轴x=1,顶点(1,-4)
(1)
t+1≤1即t≤0时
y=f(x)在[t,t+1]单调递减
g(t)=f(t)=t²-2t-3
h(t)=f(t+1)=t²-4
(2)
t≥1时
y=f(x)在[t,t+1]单调递增
g(t)=f(t+1)=t²-4
h(t)=f(t)=t²-2t-3
(3)
t1即0