Josiah, the manager of a pet store, bought 72 oz of water Conditioner to use in his fish tank. his small tanks would require 2 o
z of conditioner and his large tanks would require 6 oz of conditioner he made a sketch to show the line representing the different combinations of Tanks he could put the Water Conditioner into the x-axis represents the number of small tanks and the y-axis represents the number of large tanks the manager labeled only the intercepts.
which points did the manager label?
which points did the manager label?
2 answers:
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We need to graph the given piecewise function.
To graph any piecewise function we do that into parts
Let's graph upper part first which is
restriction for that is
that means we are free to pick any number for x that is between -5 and 3, including 3.
So we will find few points by plugging random numbers between -5 and 3.
Let's use x=-5, we get:
so first point is (-5,27).
similarly we can find other points like (0,2), (2,6), (-1,3) etc.
Now we join those points by a curved line.
means we use a close circle at -5
x<3 means use open circle at 3
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Repeat same process for 2nd part f(x)=x-4
choose any number between 3 and 7 like x=3, 4 etc
so we get points (3,-1), (4,0) etc
Now graph them
So the final graph will look like:
