Which graph is the graph of this function?
1 answer:
This a piecewise function
go from top to bottom
(prefernce, not needed to do but whatev)
so
5 if -3<x<-2
we see we have the < around the x so we use empty circles at x=-3 and x=-2
and f(x)=5, so we plot the points (-3,5) and (-2,5) and put empty circles there
then connect them with a line
that's only the 1st and 3rd graph
then -3/2 if -2≤x<3
we have ≤ then < so filled circle then empty circle
ok, so plot (-2,-3/2) and (3,-3/2) and fill the first point and make the 2nd emtpy and connect them with a line
that is the 3rd graph
answer is C (assuming you put them in order)
just in case you mixed up the order, here is the screenshot of the correct graph
go from top to bottom
(prefernce, not needed to do but whatev)
so
5 if -3<x<-2
we see we have the < around the x so we use empty circles at x=-3 and x=-2
and f(x)=5, so we plot the points (-3,5) and (-2,5) and put empty circles there
then connect them with a line
that's only the 1st and 3rd graph
then -3/2 if -2≤x<3
we have ≤ then < so filled circle then empty circle
ok, so plot (-2,-3/2) and (3,-3/2) and fill the first point and make the 2nd emtpy and connect them with a line
that is the 3rd graph
answer is C (assuming you put them in order)
just in case you mixed up the order, here is the screenshot of the correct graph
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Answer: y < 1
<u>Step-by-step explanation:</u>
The first function has the range of y < -4
The second function has the range of y = -3
The third function has the range of y < 1
The largest y-value is 1 and the smallest y-value is -∞, therefore the range (y-values) are from -∞ to 1 → y < 1