Current location - Trademark Inquiry Complete Network - Trademark inquiry - It is known that the "Nike" function f(x)=x+1x, as shown in the image on the right side of the Y axis (1) to judge the parity of the "Nike" function;
It is known that the "Nike" function f(x)=x+1x, as shown in the image on the right side of the Y axis (1) to judge the parity of the "Nike" function;
solution: (1) the "Nike" function f(x)=x+1x, the domain is (-∞, )∪(,+∞),

and f(-x)=-x+1? X=-(x+1x)=-f(x), so the function f(x) is odd function.

(2) f (-2) =-2+1? 2=-52,

According to the image of the function f(x) on the right side of the Y axis, and the function is odd function, the image is symmetrical about the origin,

Draw the image of the "Nike" function on the left side of the Y axis, as shown in the figure:

(3) Combined with the image of the "Nike" function f(x), the range of this function is (-).