问题
填空题
某一次函数的图象经过点(-1,0)且函数y的值随x的增大而减小,写出一个符合这个条件的函数解析式
答案
Y=-x-1
由题可知,要求的解析式只需满足条件k<0且过点(-1,0)即可.
解:∵函数值随着自变量的增大而减小,
∴x的系数小于0,可定为-1,
∴函数解析式可表示为:y=-x+b,把(-1,0)代入得,b=-1,
∴要求的函数解析式为:y=-x-1.(答案不唯一)
某一次函数的图象经过点(-1,0)且函数y的值随x的增大而减小,写出一个符合这个条件的函数解析式
Y=-x-1
由题可知,要求的解析式只需满足条件k<0且过点(-1,0)即可.
解:∵函数值随着自变量的增大而减小,
∴x的系数小于0,可定为-1,
∴函数解析式可表示为:y=-x+b,把(-1,0)代入得,b=-1,
∴要求的函数解析式为:y=-x-1.(答案不唯一)
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