一次函數(shù)Y=-(M+2)X+1-M,若Y隨X的增大而減小,且該函數(shù)圖像與X軸的交點(diǎn)在原點(diǎn)右側(cè),則M的取值范圍是【
一次函數(shù)Y=-(M+2)X+1-M,若Y隨X的增大而減小,且該函數(shù)圖像與X軸的交點(diǎn)在原點(diǎn)右側(cè),則M的取值范圍是【
優(yōu)質(zhì)解答
Y隨X的增大而減小,減函數(shù)-(M+2)<0,M>-2
函數(shù)圖像與X軸的交點(diǎn)在原點(diǎn)右側(cè),且該函數(shù)為一次減函數(shù),則該函數(shù)與y軸交點(diǎn)在y正半軸.
y==-(M+2)*0+1-M=1-M>0
M<1
綜上所述-2