QQuestionMathematics
QuestionMathematics
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*.
Step 3:: Substitute *x = 2 * into the function rule.
h(2) = -(2)
Step 4:: Calculate the result.
h(2) = - 2
Final Answer
The value of *h(2)* is - 2.
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