QQuestionMathematics
QuestionMathematics
What is the range of the function graphed below?
\begin{aligned}
& \text { (1) } 1 \leq y<4 \\
& \text { (2) } 3<y \leq 3 \\
& \text { (3) } 2 \leq y \leq 3 \\
& \text { (4) } 3 \leq y<4
\end{aligned}
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Answer
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Step 1: Identify the different sections of the graph where the function is defined.
The function is defined for y values between 1 and 4, but not including 3. This means that the function has two separate ranges: one from 1 to less than 3, and another from greater than 3 to less than 4.
Step 2: Express the range in interval notation.
Since the function is not defined at 3, we have two separate ranges: (1) For y values between 1 and 3 (exclusive): [1, 3) (2) For y values between 3 and 4 (exclusive): (3, 4)
Final Answer
The range of the function is [1, 3) ∪ (3, 4).
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