The range of ℎ(𝑥)={2𝑥+1𝑥<13𝑥≥1h(x)={ 2x+13 x<1x≥1 is:A.(−∞,3](−∞,3]B.[ 3,∞∞)C.(−∞,3)(−∞,3)D.(−∞,1)(−∞,1)E.All real numbersF.(−∞,1](−∞,1]

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Solution 1

1. Break Down the Problem

We need to find the range of the piecewise function $h(x)$ , which is defined as follows: $h(x) = \begin{cases} 2x + 1 & \text{if } x < 1 \\ 3 & \text{if } x \geq 1 \end{cases}$ We will analyze the two cases separately to determine their ranges.

2. Relevant

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Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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The range of ℎ(𝑥)={2𝑥+1𝑥<13𝑥≥1h(x)={ 2x+13​ x<1x≥1​ is:A.(−∞,3](−∞,3]B.[ 3,∞∞)C.(−∞,3)(−∞,3)D.(−∞,1)(−∞,1)E.All real numbersF.(−∞,1](−∞,1]