2.2 The Graph of a Function: Difference between revisions
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:1. <math>f(x)=y</math><br> | :1. <math>f(x)=y</math><br> | ||
: <math>x</math> is called the <b>input</b> or <b>argument</b> of the function and <math>f(x)</math> or <math>y</math> is called the <b>output</b> or <b>value</b> at <math>x</math>. | : <math>x</math> is called the <b>input</b> or <b>argument</b> of the function and <math>f(x)</math> or <math>y</math> is called the <b>output</b> or <b>value</b> at <math>x</math> | ||
:: ex. If <math>f(x)=x^2+x+1</math> what is the value of <math>f</math> at <math>x=3</math>? | |||
:: The value of <math>f</math> at <math>x=3 \text{ is } 13</math> | |||
:2. <math>(x, y) \text{ or } (x, f(x)) </math> is called an <b>ordered pair</b> where <math>x</math> is the input and <math>y \text{ or } f(x)</math> is the output | :2. <math>(x, y) \text{ or } (x, f(x)) </math> is called an <b>ordered pair</b> where <math>x</math> is the input and <math>y \text{ or } f(x)</math> is the output | ||
Latest revision as of 19:20, 22 August 2022
Lecture
Lecture notes
- 1. 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 f(x)=y}
- 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 called the input or argument of the function 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 f(x)}
or 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}
is called the output or value at 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}
- ex. If 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 f(x)=x^2+x+1} what is the value of 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 f} at 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=3} ?
- The value of 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 f} at 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=3 \text{ is } 13}
- 2. 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, 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