for x >= o f(x)= x2-x how is f defined for x < 0 if (a) f is even (b) f is odd

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for x >= o f(x)= x2-x how is f defined for x < 0 if (a) f is even (b) f is odd
for x >= o f(x)= x2-x how is f defined for x < 0 if (a) f is even (b) f is odd

for x >= o f(x)= x2-x how is f defined for x < 0 if (a) f is even (b) f is odd
f&#39;(x)=3x^2+1(1)令x=2        f&#39;(x)=13所以曲线在点(2,-6)出的切线方程为y+6=13(x-2)    即切线方程为y=13x-32(2)设直线L的方程为y=ax在切点处有 y=ax  y=f(x)=x^3+x-16  a=3x^2+1  三个方程联立得  解得x=-2所以直线L的方程为y=13x       切点坐标为(-2,-26)(3)由题意知切线的斜率为4  令f&#39;(x)=3x^2+1=4   得x=±1 当x=-1时 f(x)=-18  则切线方程为 y+18=4(x+1)    即y=4x-14当x=1时,f(x)=-14  则切线方程为y+14=4(x-1)    即y=4x-18

若f是偶函数,则当x<0时,定义:
f(x)=x^2+x
若f是奇函数,则当x<0时,定义:
f(x)=-x^2-x