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Mathematics 21 Online
OpenStudy (anonymous):

Graph the relation and its inverse. Use open circles to graph the points of the inverse. (0,3) (4,2) (9,7) (10,-1)

OpenStudy (anonymous):

answer choices

OpenStudy (anonymous):

@jigglypuff314

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

Did you manage to plot these points (0,3) (4,2) (9,7) (10,-1) ??

OpenStudy (anonymous):

yes but idk what the inverse is

jimthompson5910 (jim_thompson5910):

well for any point (x,y), the inverse is (y,x) you swap the coordinates this is because you're reflecting over the line y = x

jimthompson5910 (jim_thompson5910):

so for example, (2,3) ---> (3,2)

OpenStudy (anonymous):

oh wow so its just the opposite then??? I feel dumb... but that would be the final answer once I do the inverse

OpenStudy (jdoe0001):

as @jim_thompson5910 pointed out, the DOMAIN of a function, will also be the RANGE of its inverse, so \(\large \begin{array}{rrrllll} x&y \\\hline\\ 0&{\color{brown}{ 3}}\\ 4&{\color{brown}{ 2}}\\ 9&{\color{brown}{ 7}}\\ 10&{\color{brown}{ -1}} \end{array}\qquad inverse\to \begin{array}{rrrllll} x&y \\\hline\\ {\color{brown}{ 3}}&0\\ {\color{brown}{ 2}}&4\\ {\color{brown}{ 7}}&9\\ {\color{brown}{ -1}}&10 \end{array}\)

OpenStudy (anonymous):

thank you both

OpenStudy (jdoe0001):

yw

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