一、函数f(x) =ax +bx(a ,b∈R)的性质1.当a =b =0时 ,f(x) =0 (x≠ 0 )是常数函数 ,既是奇函数又是偶函数 ,其图象是x轴 (不包括原点 ) .2 .当b =0 ,a≠ 0时 ,f(x) =ax(x≠ 0 )是一次函数且是奇函数 ,其图象是一条直线 (不包括原点 ) .3.当a =0 ,b≠ 0时 ,f(x) =bx(x≠ 0 )是 1. Properties of the function f(x) = ax + bx(a, b∈R) 1. When a = b =0, f(x) =0 (x≠ 0) is a constant function, which is both an odd function and a Even function, the image is the x axis (excluding the origin). 2. When b =0, a ≠ 0, f(x) = ax(x ≠ 0) is a linear function and is an odd function. Its image is A straight line (excluding the origin) .3. When a =0 and b ≠ 0, f(x) = bx(x≠ 0) is