Answer:
1) Every radical can be rewritten has an exponent 2) Domain, Range, Base, Â and Asymptote.
Step by Step Explanation:
1) As a matter of fact every radical, is a number or an expression with a rational exponent. Therefore, it is a equality relationship, like this:
If √a=[tex]a^{\frac{1}{2}}[/tex]   then  [tex]\sqrt[3]{a^{2} }[/tex]=1^(2/3)
That is the procedure: the radicand is the base; the numerator is the exponent to that radicand is raised to. In addition, the denominator is the index of the root. Â
2) Since the Exponential Function has this form:
[tex]f(x)=c^{ax+b}+k[/tex]
We can algebraically see that there is no restriction to the Domain, since the x can assume any value. And the function is a continuous one.
[tex]y=c^{x}\\ Â c^x=?\\ D={...,c^{-1} =(\frac{1}{c}),\\c^0=1,\\ c^1=c, ...}[/tex]
As for the Range
Since the base must always be greater than 0 and 1, considering an exponential form in this way:
[tex]f(x)=c^{ax+b}+k[/tex] like y=[tex]c^{x}[/tex] since k=0 y must always be greater than zero, therefore y >0
Base
We cannot have a power which its base is 0, since any value for x would result in the same result for y.
[tex]y=0^0, 0^1=0, 0^2=0,0^3=0[/tex]
Similarly we cannot have a base as 1, since 1^0=1,1^1=1 What  would give us not an exponential function.
Asymptote
The asymptote is given by the constant k, [tex]f(x)=c^{ax+b}+k[/tex], whether it is zero or any other value.
y=k for (Horizontal) Asymptote
Whenever we add a positive constant or subtract a constant It happens like in that picture below.
3) By the increasing or decreasing rate since, among the polynomial ones the exponential has the quickest growth. Check it out.
4) This is visually explained
5) In order to obtain a simplified radical of that square root, the Prime Factors  must be choosen. The Greatest Perfect is aimed for those cases in which we want the value in decimal form.
6) Let us call our Domain (d) Days and Range as (Points).
So Â
Days(d) Points (P)
2 Â Â Â Â Â Â Â Â Â 4
4 Â Â Â Â Â Â Â 12
We can measure this rate of change, by calculating the angular coefficient Â
[tex]m=\frac{P_{2}-P_{1}}{D_{2}-D{1}}[/tex]
Plugging in the Values
[tex]m=\frac{12-4}{4-2} =4[/tex]
7) An Arithmetic Sequence is a Sequence that increases, decreases, or even maintain itself at linear rate and a Geometric Sequence increases, decreases, or even may maintain itself exponentially
A ={10,12,14,16,…}
G={10,100,1000,10000,…}
8) Through observation, of patterns and changing whether it is a fast changing or even constant. We can derive parameters of functions from their context, time, and others
