2.1 Functions

Lecture

• Part 1
• Part 2
• Part 3

Lecture notes

1. How do you read $D=\{\forall x|x\in \Re ,x\neq -5\}$?

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

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

Answer: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \sqrt[m]{(x)^n}=\left ( \sqrt[m]{x} \right )^n =x^{\frac{n}{m}}} Where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle m} is called the index and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle n} is called the power.