# Linear function, graph of a linear function

Definition: a Linear function is a function of the form where is some number

## Properties of linear functions

1. Scope 2. 3. Multiple value 4. when when 5. Parity, odd parity
6. if the function is neither even nor odd

in — steamroom

if and is odd

7. The point of intersection with the axes
8. at the point of intersection with the axis then straight and parallel to the axis at a and coincides with the axis when 9. Continuity and differentiability
10. A linear function is continuous and diferencian on the entire number line 11. The increase and decrease of
12. when a function is increasing on all number line

when a function is decreasing on the entire number line

when a function became

13. The graph of a linear function is always a straight, tangent of slope angle of this straight line to the axis

at the point of intersection with the axis — the angular coefficient of the straight when is a straight line passing through the origin

when is a straight line, not passing through the origin

## Graphs of linear functions Tags:
Chapter:
Versions in other languages:
Share with friends:
{"ft_lang_label":"__label__en","ft_lang_prob":0.8862569,"math_prob":0.993159,"size":993,"snap":"2023-14-2023-23","text_gpt3_token_len":216,"char_repetition_ratio":0.18907988,"word_repetition_ratio":0.125,"special_character_ratio":0.19335347,"punctuation_ratio":0.022857143,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99365616,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78],"im_url_duplicate_count":[null,null,null,5,null,null,null,10,null,null,null,5,null,5,null,5,null,10,null,10,null,5,null,5,null,null,null,10,null,5,null,null,null,10,null,null,null,10,null,5,null,5,null,5,null,5,null,null,null,null,null,null,null,null,null,5,null,5,null,5,null,10,null,5,null,5,null,5,null,5,null,5,null,5,null,10,null,5,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-03-29T14:22:51Z\",\"WARC-Record-ID\":\"<urn:uuid:57f2891c-0e82-4d6a-8f86-02656a914d55>\",\"Content-Length\":\"49100\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:0e5cac5f-e28f-4b6e-b72a-c7d2662460f8>\",\"WARC-Concurrent-To\":\"<urn:uuid:86d01b04-dc1d-4400-be66-1562a445e790>\",\"WARC-IP-Address\":\"172.67.153.208\",\"WARC-Target-URI\":\"https://cubens.com/en/handbook/functions-and-graphs/linear-function\",\"WARC-Payload-Digest\":\"sha1:EVCK4VRYNIYOZXL7IQJ3TJ67PHBRV6W7\",\"WARC-Block-Digest\":\"sha1:AOAFIMA6FEDRI6GDEZTWNQMETP3KAB7O\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-14/CC-MAIN-2023-14_segments_1679296948976.45_warc_CC-MAIN-20230329120545-20230329150545-00673.warc.gz\"}"}