2.1 Functions: Difference between revisions

Latest revision as of 02:29, 20 August 2022

1. How do you read

D=\{\forall x|x\in \Re ,x\neq -5\}

?

{\begin{aligned}\overbrace {D} ^{\text{the domain}}\underbrace {=} _{\text{is}}\overbrace {\{} ^{\text{the set}}\underbrace {\forall x} _{\text{of all x}}\overbrace {|} ^{\text{such that}}\underbrace {x\in \Re } _{\text{x is an element of the real number set}}\overbrace {,x\neq -5} ^{\text{where x is not equal to -5}}\end{aligned}}

2. How do you convert from radical form to exponential form?

{\sqrt[{m}]{(x)^{n}}}=\left({\sqrt[{m}]{x}}\right)^{n}=x^{\frac {n}{m}}

Where

m

is called the index and

n

is called the power

@@ Line 5: / Line 5: @@
 * [https://youtu.be/Rd4KoqpO9b8 Part 3]
-== Lecture Notes ==
+== Lecture notes ==
+:1. How do you read <math>D=\{\forall x | x \in \Re, x\neq -5\} </math>?<br>
-<math>\begin{align}
+:: <math>\begin{align}\overbrace{D}^{\text{the domain}} \underbrace{=}_{\text{is}} \overbrace{\{}^{\text{the set}} \underbrace{\forall x}_{\text{of all x}}\overbrace{|}^{\text{such that}}\underbrace{x\in\Re}_{\text{x is an element of the real number set}} \overbrace{, x \neq -5}^{\text{where x is not equal to -5}} \end{align}</math><br><br>
-\overbrace{D}^{\text{the domain}}
+:2. How do you convert from radical form to exponential form?
+:: <math>\sqrt[m]{(x)^n}=\left ( \sqrt[m]{x} \right )^n =x^{\frac{n}{m}}</math> <br>
-\underbrace{=}_{\text{is}}
+:: Where <math>m</math> is called the index and <math>n</math> is called the power<br><br>
-\overbrace{\{}^{\text{the set}}
-\underbrace{\forall x}_{\text{of all x}}
-\overbrace{|}^{\text{such that}}
-\underbrace{x\in\Re}_{\text{x is an element of \bold{the real number system}}}
-\end{align}</math>
-<!--
-<math chem>\begin{align}
-\overbrace{\ce{2Fe3O4}}^{\text{magnetite}} + \ce{1/2 O2 ->}\ &{\color{Brown}\overbrace{\ce{3(\lambda{-}Fe2O3)}}^{\text{maghemite}}}\\
-\underbrace{\ce{2Fe3O4}}_{\text{magnetite}} + \ce{1/2 O2 ->}\ &{\color{Red}\underbrace{\ce{3(\alpha{-}Fe2O3)}}_{\text{hematite}}}
-\end{align}</math>
--->
 ==Solutions==