Basic elementary function

【 1、 Constant function 】

$$y=C,CbyoftenCount$$

【 2、 power function 】

$$y=x^a,abyoftenCount$$
among ,x It's called base number ,a It's called index .

【 3、 Exponential function 】

$$y=a^x,a>0Anda\ne 1$$
among ,a It's called base number ,x It's called index .
$$a^m\cdot a^n=a^{m+n}$$
$$\frac{a^m}{a^n}=a^{m-n}$$
$$(a^m{)}^n=a^{mn}$$

【 4、 Logarithmic function 】

$$y=lo{g}_{a}x,a>0Anda\ne 1Andx>0$$
among ,a It's called base number ,x Called a true number .
$$lo{g}_{a^n}{b}^m=\frac{m}{n}lo{g}_{a}b,a>0Anda\ne 1Andb>0$$
$$lo{g}_{a}b=\frac{1}{lo{g}_{b}a},a>0Anda\ne 1Andb>0Andb\ne 1$$

【 5、 Trigonometric and anti trigonometric functions 】

$$y=Asin(wx+\phi )$$
Similar to that cos、tan、arcsin、arctan etc. .