When a is different, the different situations of the power function domain are as follows:

1. If A is negative, then X must not be 0, but at this time, the domain of the function must also be determined according to the parity of Q, that is, if Q is even at the same time, then X cannot be less than 0, then the domain of the function is all real numbers greater than 0; 2. If q is an odd number at the same time, the domain of the function is all real numbers that are not equal to 0.

When x is a different value, the range of power function is different as follows:

1. When x is greater than 0, the range of the function is always a real number greater than 0.

2. When x is less than 0, then only at the same time Q is odd, and the range of the function is non-zero real number.

Only when a is a positive number will 0 enter the value range of the function.

Since x is greater than 0, it is meaningful for any value of a,

Therefore, various situations of power function in the first quadrant are given below.

exponential function

x∈R

Refers to all real numbers, that is, R.

logarithmic function

The domain of logarithmic function y=loga x is {xèx >；; 0}, but when solving the domain of logarithmic compound function, we should not only pay attention to the fact that the real number is greater than 0, but also pay attention to the fact that the radix is greater than 0 and not equal to 1. In order to solve the domain of the function y=logx(2x- 1), x >； must be satisfied; 0 and x≠ 1 and 2x-1>; 0, get x> 1/2 and x≠ 1, that is, its domain is {x丨 x >；; 1/2 and x≠ 1}