2.2 The Graph of a Function - Revision history

Dvaezazizi@laalliance.org at 19:20, 22 August 2022

2022-08-22T19:20:23Z

← Older revision		Revision as of 19:20, 22 August 2022
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	: <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>?		:: 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 \~~test~~{ is } 13</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

Dvaezazizi@laalliance.org: /* Lecture notes */

2022-08-22T19:20:14Z

Lecture notes

← Older revision		Revision as of 19:20, 22 August 2022
Line 9:		Line 9:
	: <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>?		:: 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</math> ~~is 13~~		:: The value of <math>f</math> at <math>x=3 \test{ 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

Dvaezazizi@laalliance.org: /* Lecture notes */

2022-08-22T17:54:07Z

Lecture notes

← Older revision		Revision as of 17:54, 22 August 2022
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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>?		:: 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</math> is 13		:: The value of <math>f</math> at <math>x=3</math> is 13

	: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

Dvaezazizi@laalliance.org: /* Lecture notes */

2022-08-22T17:41:47Z

Lecture notes

← Older revision		Revision as of 17:41, 22 August 2022
Line 9:		Line 9:
	: <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>?		:: ex. If <math>f(x)=x^2+x+1</math> what is the value of <math>f</math> at <math>x=3</math>?
	:: ~~ans. the~~ value of <math>f</math> at <math>x=3</math> is 13.		:: The value of <math>f</math> at <math>x=3</math> is 13

	: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

Dvaezazizi@laalliance.org: /* Lecture notes */

2022-08-22T17:41:26Z

Lecture notes

← Older revision		Revision as of 17:41, 22 August 2022
Line 8:		Line 8:

	: <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>?
			:: ans. the value of <math>f</math> at <math>x=3</math> is 13.

	: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

Dvaezazizi@laalliance.org: /* Lecture notes */

2022-08-22T17:39:10Z

Lecture notes

← Older revision		Revision as of 17:39, 22 August 2022
Line 9:		Line 9:
	: <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>.

	: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

Dvaezazizi@laalliance.org: /* Lecture notes */

2022-08-22T17:38:51Z

Lecture notes

← Older revision		Revision as of 17:38, 22 August 2022
Line 7:		Line 7:
	: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 ~~<br>~~ <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>.

	: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

Dvaezazizi@laalliance.org: /* Lecture notes */

2022-08-22T17:38:27Z

Lecture notes

← Older revision		Revision as of 17:38, 22 August 2022
Line 9:		Line 9:
	: <math>x</math> is called the <b>input</b> or <b>argument</b> of the function <br> <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 <br> <math>f(x)</math> or <math>y</math> is called the <b>output</b> or <b>value</b> at <math>x</math>.

	:2. <math>(x, y) \text{ or } (x, f(x)) </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

Dvaezazizi@laalliance.org: /* Lecture notes */

2022-08-22T17:37:02Z

Lecture notes

← Older revision		Revision as of 17:37, 22 August 2022
Line 9:		Line 9:
	: <math>x</math> is called the <b>input</b> or <b>argument</b> of the function <br> <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 <br> <math>f(x)</math> or <math>y</math> is called the <b>output</b> or <b>value</b> at <math>x</math>.

	:2. <math>(x, y) \text{or} (x, f(x)) </math>		:2. <math>(x, y) \text{ or } (x, f(x)) </math>

Dvaezazizi@laalliance.org: /* Lecture notes */

2022-08-22T17:36:55Z

Lecture notes

← Older revision		Revision as of 17:36, 22 August 2022
Line 8:		Line 8:

	: <math>x</math> is called the <b>input</b> or <b>argument</b> of the function <br> <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 <br> <math>f(x)</math> or <math>y</math> is called the <b>output</b> or <b>value</b> at <math>x</math>.

			:2. <math>(x, y) \text{or} (x, f(x)) </math>