2.2 The Graph of a Function

Lecture

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Lecture notes

1. $f(x)=y$

$x$ is called the input or argument of the function and $f(x)$ or $y$ is called the output or value at $x$

ex. If $f(x)=x^{2}+x+1$ what is the value of $f$ at $x=3$?

The value of $f$ at Failed to parse (unknown function "\test"): {\displaystyle x=3 \test{ is } 13}

2. $(x,y){\text{ or }}(x,f(x))$ is called an ordered pair 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 x} is the input 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 y \text{ or } f(x)} is the output