The piecewise function *h(x)* is shown on the graph. What is the value of *h(2)?*
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Answer

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Step 1
: Identify the piecewise function from the given graph.

The piecewise function *h(x)* is defined as follows: h(x) = \begin{cases} 2x + 3, & \text{if } x < - 1 \ -x, & \text{if } - 1 \leq x < 1 \ \end{cases}

Step 2
: Determine the value of *h(2)* by using the appropriate function rule.

Since 2 is greater than - 1 but less than 1, we use the second function rule: *h(2$) = -x*.

Final Answer

The value of *h(2)* is - 2.