Mathematics
7 Online
OpenStudy (anonymous):
Give the inequality to the graph below. Using complete sentences, explain the method and math used to create the inequality.
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OpenStudy (anonymous):
OpenStudy (anonymous):
@starbelly
jimthompson5910 (jim_thompson5910):
what is the equation of the boundary line?
OpenStudy (anonymous):
i don't know how to ge tit
jimthompson5910 (jim_thompson5910):
what kind of equation does it look like, like what type
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OpenStudy (anonymous):
get it
OpenStudy (anonymous):
that is the question
OpenStudy (anonymous):
that is all it says, with teh graph
jimthompson5910 (jim_thompson5910):
is it linear?
quadratic?
cubic?
exponential?
absolute value?
logarithmic?
or something else?
OpenStudy (anonymous):
something else
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jimthompson5910 (jim_thompson5910):
you sure?
OpenStudy (anonymous):
i don't know, what i wrote above is the whole question with the graph
jimthompson5910 (jim_thompson5910):
the graph is v-shaped, so that's a big hint
OpenStudy (anonymous):
linear
OpenStudy (anonymous):
absolute value
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jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
what is the vertex of this absolute value graph
OpenStudy (anonymous):
(-3,-3)
jimthompson5910 (jim_thompson5910):
so the equation of the boundary line is
y = - | x + 3 | - 3
notice that the value of 'a' is negative 1 because the entire graph is flipped upside-down
OpenStudy (anonymous):
so is that the answer
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jimthompson5910 (jim_thompson5910):
no
OpenStudy (anonymous):
what is the next step
jimthompson5910 (jim_thompson5910):
the boundary line is dashed, and you are shading down
so y = - | x + 3 | - 3 turns into what?
OpenStudy (anonymous):
i don't know
jimthompson5910 (jim_thompson5910):
y > .... means you shade up
y < .... means you shade down
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OpenStudy (anonymous):
Y<-|x+3|-3
jimthompson5910 (jim_thompson5910):
you got it
OpenStudy (anonymous):
so that is the inequailty
OpenStudy (anonymous):
is it or isn't it
jimthompson5910 (jim_thompson5910):
yes that's the inequality
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jimthompson5910 (jim_thompson5910):
which is why I said "you got it"
OpenStudy (anonymous):
ok thanks, i know the method and the math used,
OpenStudy (anonymous):
i didn't know if there was more
OpenStudy (anonymous):
Thank you, sooooooo much
jimthompson5910 (jim_thompson5910):
yw