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Mathematics 10 Online
OpenStudy (anonymous):

Help with function. Attachment below.

OpenStudy (anonymous):

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

were you able to get anywhere with this one?

OpenStudy (anonymous):

no I'm not really sure what I'm suppose to do.

jimthompson5910 (jim_thompson5910):

what's the vertical asymptote

OpenStudy (anonymous):

are you asking me the definition?

jimthompson5910 (jim_thompson5910):

no I'm asking what is the vertical asymptote in this case

OpenStudy (anonymous):

5

jimthompson5910 (jim_thompson5910):

x - 3 = 0 x = ??

OpenStudy (anonymous):

3

jimthompson5910 (jim_thompson5910):

so that's the vertical asymptote

jimthompson5910 (jim_thompson5910):

the horizontal asymptote is y = 5 since that's the term being added on

jimthompson5910 (jim_thompson5910):

there are no x-intercepts, but there is one y-intercept

jimthompson5910 (jim_thompson5910):

you plug in x = 0 to find y to get the y-intercept

OpenStudy (anonymous):

so y= -0.33 repeating

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

that should be enough info to graph

OpenStudy (anonymous):

Do I just graph 3,-0.33

jimthompson5910 (jim_thompson5910):

you graph the horizontal and vertical asymptoes

jimthompson5910 (jim_thompson5910):

then you plot the y-intercept

jimthompson5910 (jim_thompson5910):

and draw a hyperbola through that point

OpenStudy (anonymous):

Omg I'm confused. SO I'm graphing 3 and 5 right?

jimthompson5910 (jim_thompson5910):

here's an blank xy axis |dw:1365136831053:dw|

jimthompson5910 (jim_thompson5910):

now graph the vertical asymptote x = 3 (dashed vertical line |dw:1365136855864:dw|

jimthompson5910 (jim_thompson5910):

and the horizontal asymptote y = 5 (dashed horizontal line) |dw:1365136904667:dw|

jimthompson5910 (jim_thompson5910):

then plot the point (0, -0.333333) |dw:1365136959353:dw|

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