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 7: / Line 7: @@
 == Lecture notes ==
-:1. How do you read <math>D=\{\forall x | x \in \Re, x\neq -5\} </math>?<br><br>
+:1. How do you read <math>D=\{\forall x | x \in \Re, x\neq -5\} </math>?<br>
-:: Answer: <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>
+:: <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>
-:2. How do you covert from radical form to exponential form?
+:2. How do you convert from radical form to exponential form?
-:: Answer: <math>\begin{align}\sqrt[m]{(x)^n}=\left(\sqrt[m]{x}\right)^{n}=x^{\frac{n}{m}}\end{align}</math> Where <math>m</math> is called the index and <math>n</math> is called the power.
+:: <math>\sqrt[m]{(x)^n}=\left ( \sqrt[m]{x} \right )^n =x^{\frac{n}{m}}</math> <br>
+:: Where <math>m</math> is called the index and <math>n</math> is called the power<br><br>
-<math>\left ( \frac{1}{2} \right )^n</math>
 ==Solutions==