Definition of power function: a function with the shape of y = x a (a is a real number), that is, a function with the base as the independent variable, the power as the dependent variable and the exponent as the constant is called a power function. For example, functions y=x y=x, y=x, y=x (note: X = X = 1/X = X, x≠0) are all power functions.

The power function image must appear in the first quadrant instead of the fourth quadrant. Whether it appears in the second and third quadrants depends on the parity of the function. Power function images can only appear in two quadrants at most. If the power function image intersects the coordinate axis, the intersection must be the origin.

Extended data:

Power function attribute:

When α >; 0, the power function y=xα has the following properties: all images pass through this point (1,1) (0,0); The image of the function is the increasing function in the interval [0, +∞); In the first quadrant, α >; 1, the derivative value increases gradually; When α= 1, the derivative is constant; 0 & ltα& lt； At 1, the derivative value gradually decreases and approaches 0.

When α

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