Answer:
the graph that goes through the points
(0,3), (-4,0)
Step-by-step explanation:
make y the subject
3x-4y=-12
4y=3x+12
y=(3x+12)/4
now when x=0
y=12/4=3
so coordinates (0,3)
now when y=0
0=(3x+12)/4
by multplying both sides by 4
0=3x+12
0=3 (x+4)
divide both sides by 3
0=x+4
x=-4
so coordinates (-4,0)
The equation of the piecewise function is
On the graph, we have:
Hence, the piecewise function is:
This is the set of input values
In (a), we have:
x ≤ -1 and x > 2
Hence, the domain is (∞, 3] u (2, ∞)
<h3>The range of the function</h3>This is the set of output values
In (a), we have:
f(x) = 3 and f(x) -1
Hence, the range is [3] u (-1)
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