The form of exponential function is: y = a x, (a >;; 0,a≠ 1)
Domain: x∑(-∞, ∞),
Range: y = a x > 0.
Special values: a 0 = 1, a 1 = a, a (-1) =1/a.
The influence of the change of cardinal number a on the function value;
A> in 1, y = a x is increasing function, x >;; 0,y = a x > 1; X<0, then 0.
0<a< in 1, y = a x is a decreasing function, x >;; 0, then 0
Image: above the X axis, passing through points such as (0, 1), (1, a), (-1, 1/a);
A>0, the image rises monotonously; A<0, the image drops monotonously.
The form of power function is y-x n or y = kx n: (k constant).
N = 0, y = 1- constant function;
N = 1, y = x,-linear function;
N = 2, y = x 2, quadratic function;
N=- 1, y= 1/x (or y=k/x), inverse proportional function.
Its image and narration are too much trouble. Just name it, draw a picture on the draft paper and discuss its characteristics.