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: 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 \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}}

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

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 \left ( \frac{1}{2} \right )^n}