2.
2 answers:
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Answer as a compound inequality:
Answer in interval notation: [-4, 2)
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Explanation:
The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.
The lowest point occurs when y = -4. We include this value. So far we have which is the same as
The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that
Combine and
to get the compound inequality
This says y is between -4 and 2, including -4 but excluding 2.
To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.
Answer:
50
Step-by-step explanation:
x = √30² - 18² = √576 = 24
tan A = 18/24 = 3/4
∠A = ∠B
tan B = tan A = 24 / y = 3 / 4
y = (24 x 4) / 3 = 32
Z = y + 18 = 32 + 18 = 50
