The equation of the piecewise function is 
<h3>The piecewise function</h3>
On the graph, we have:
- y = 3 for all x values not more than -1
- y = -1 for all values greater than 2
Hence, the piecewise function is:

<h3>The domain of the function</h3>
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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Answer:
see explanation
Step-by-step explanation:
The product of 3 and x is 3x
Four more than this product is 3x + 4, thus
3x + 4 = 19 ← is the equation
Answer:
gallons
Step-by-step explanation:
Considering she waters her plants with 25 1/2 gallons i.e 51/2
and with the new system, she does it with 19 3/4 i.e 79/4
taking the difference:
=
gallons per day
For 30 days:
30 x
= 172.5 or
gallons
Answer:
Yes they did.
Step-by-step explanation:
So you have the fraction 3/4 and 6/8. If you divide the fraction 6/8 by 2 you will get 3/4 since 6/8 is an unsimplifed form of 3/4.