i am having trouble filling out the chart of basic functions that includes periodic and one by one
i dont understand the concept
X^2
X^3
Abs(x)
Sin(x)
Cos(x)
Tan(x)
Sec(x)
2^x
Logbase 2 of x
1/x
Sq rt of X
sq rt of a^2- x^2
i suppose you mean one to one?
intuitively, a function is periodic if it has a repeating pattern, forever. sin(x) is obviously one. it's period is . you have the same pattern between repeating forever.
slightly more formally, a function is called periodic, if for some integer . we call the period.
for example, going back to sine. , the period is . any multiple of the period and you get back the same value. so etc
a function is called one-to-one if . or equivalently, for