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Answer:
Domain: (-∞, 0] U (0, ∞): All real numbers.
Range: (-∞, ∞)
Step-by-step explanation:
This function is composed of two polynomial functions, a quadratic whose domain is all real numbers and a negative slope whose domain is all real numbers.
Observe in the attached graph that the function is continuous for the whole domain, it does not have any jump. In addition, the parabolic function comes from ∞, then it has a minimum value in y = 1 it grows up to y = 4. Finally it joins with the equation of the line and it extends to -∞.
Then we can conclude that for this piecewise function:
Domain: (-∞, 0] U (0, ∞): All real numbers.
Range: (-∞, ∞)
Answer:
11 L of 20% juice and 4 L of 5% juice
Step-by-step explanation:
Let
x L = amount of 20% juice
y L = amount of 5% juice
<u>20% juice:</u>
Amount = x L
Amount of juice L
<u>5% juice:</u>
Amount = y L
Amount of juice L
<u>16% juice:</u>
Amount = 15 L
Amount of juice L
We mixed x L of 20% juice with y L of 5% juice to get 15 L of 16% juice, so
and
From the first equation:
Substitute it into the second equation: