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1. Write a compound inequality problem to represent the domain2. Write the domain in the interval notation3. Write a compound inequality to represent the range

1. Write a compound inequality problem to represent the domain2. Write the domain-example-1
User M Zeinstra
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1 Answer

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Get the domain of the graph


\begin{gathered} The\: domain\: of\: a\: function\: is\: the\: set\: of\: input\: or\: argument\: values\: for\: which\: the\: function\: is\: real\: and\: defined \\ \mathrm{The\: function\: has\: no\: undefined\: points\: nor\: domain\: constraints.\: \: Therefore,\: \: the\: domain\: is} \\ -\infty\: <strong>Hence, the compound inequality to represent the domain is:</strong>[tex]-\infty\: <p><strong>STEP 2: Write the domain in interval notation.</strong></p>[tex]\begin{gathered} \text{The compound inequality is written as: }-\infty\: <strong>Hence, the domain in interval notation is written as:</strong>[tex](-\infty,\infty)

STEP 3: Write a compound inequality to represent the range


\begin{gathered} The\text{ range of a function is:} \\ \mathrm{The\: set\: of\: values\: of\: the\: dependent\: variable\: for\: which\: a\: function\: is\: defined} \end{gathered}

Hence, the compound inequality of the range is written as:

User Federico Giorgi
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