Question

hw m 1.6: functions
score: 50/145 answered: 11/29
question 15
write the range of the function using interval notation.
question help: video
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Explanation:

Step1: Identify lowest y-value

The minimum y-value of the function is 0, which is included (the graph touches y=0).

Step2: Identify highest y-value

The maximum y-value of the function is 2. The left endpoint (y=2) is included (closed dot), and the right endpoint (y=2) is excluded (open dot), but the range includes all values up to and including 2 from the left.

Step3: Write interval notation

The range includes all y-values from 0 (inclusive) to 2 (inclusive), since the function reaches 2 at the closed dot and covers all values between 0 and 2.

Answer:

$[0, 2]$