∵y=√2sin(x-π/4)
∴最小正周期为:[0,2π];
最大值√2,最小值-√2;
∴在x∈[2kπ+3π/4,2kπ+5π/4]上,y=√2sin(x-π/4)是单调递减;
在x∈[2kπ+5π/24,2k(π+2π+π/4]上y=√2sin(x-π/4)是单调递增.
∵y=√2sin(x-π/4)
∴最小正周期为:[0,2π];
最大值√2,最小值-√2;
∴在x∈[2kπ+3π/4,2kπ+5π/4]上,y=√2sin(x-π/4)是单调递减;
在x∈[2kπ+5π/24,2k(π+2π+π/4]上y=√2sin(x-π/4)是单调递增.