<p>Consider the function \(\mathrm{q}(x) = x^2\), where&nbsp;\(x \in \mathbb{R}\).</p>
<p>The sketch of the graph is given below:</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1779531991773-ddslsfh278.png" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<p>When you project light rays horizontally from the points on the curve to the \(y\)-axis, you will discover that only the portion \(\{y \in \mathbb{R} : y \ge 0\}\) gets lit up. We have a neat notation \([0, \infty)\) for this subset of real numbers in interval notation:</p>
<p style="text-align: center">\[R_q = [0, \infty) := \{y \in \mathbb{R} : y \ge 0\}.\]</p>

Consider the function \(\mathrm{q}(x) = x^2\), where \(x \in \mathbb{R}\).

When you project light rays horizontally from the points on the curve to the \(y\)-axis, you will discover that only the portion \(\{y \in \mathbb{R} : y \ge 0\}\) gets lit up. We have a neat notation \([0, \infty)\) for this subset of real numbers in interval notation:

Obtaining the range of a given function from its graph

Obtaining the range of a given function from its graph