函数f(x)=x³-3x+2(1)求f(x)的零点(2)球分别满足f(x)<0,f(x)=0,f(x)>0的x取值范围
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/03 20:47:11
![函数f(x)=x³-3x+2(1)求f(x)的零点(2)球分别满足f(x)<0,f(x)=0,f(x)>0的x取值范围](/uploads/image/z/11504326-22-6.jpg?t=%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3Dx%26%23179%3B-3x%2B2%EF%BC%881%EF%BC%89%E6%B1%82f%EF%BC%88x%EF%BC%89%E7%9A%84%E9%9B%B6%E7%82%B9%EF%BC%882%EF%BC%89%E7%90%83%E5%88%86%E5%88%AB%E6%BB%A1%E8%B6%B3f%EF%BC%88x%EF%BC%89%EF%BC%9C0%2Cf%EF%BC%88x%EF%BC%89%3D0%2Cf%EF%BC%88x%EF%BC%89%EF%BC%9E0%E7%9A%84x%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
x͒N0_%JD N(PT*СTD Tà8mNL;M]fs=e>mޭ[`K$ecZʮQ\)E>?aǃ7hBk&)rOc
`SAǚ
&L"P.UQi]F2l}MRL{Ѿ:r|yT&q^CE)PRJyĎTb֡xd\?>BC"!r/]h
函数f(x)=x³-3x+2(1)求f(x)的零点(2)球分别满足f(x)<0,f(x)=0,f(x)>0的x取值范围
函数f(x)=x³-3x+2
(1)求f(x)的零点
(2)球分别满足f(x)<0,f(x)=0,f(x)>0的x取值范围
函数f(x)=x³-3x+2(1)求f(x)的零点(2)球分别满足f(x)<0,f(x)=0,f(x)>0的x取值范围
x³-3x+2
=x³-x-2x+2
=x(x+1)(x-1)-2(x-1)
=(x-1)(x²+x-2)
=(x-1)²(x+2)
f(x)=0
(x-1)²(x+2)=0
x=1或x=-2
f(x)-2且x≠1
x=1或x=2, y=0
f(x0<0 ,1
f(x)>0 , x<1或x>2
(1)是顶点吧,顶点(0,2):
(2)画图,去不都出来了