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The image shows the equation \( y^2 = x \), where \( x \) represents input values and \( y \) represents output values.

This is the equation of a parabola that opens to the right. For each positive value of \( x \), there are two corresponding values of \( y \), which are \( y = \sqrt{x} \) and \( y = -\sqrt{x} \). For \( x = 0 \), there is only one value of \( y \), which is \( y = 0 \). This indicates that the relation is not a function because a single \( x \)-value has multiple \( y \)-values.

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Here are 5 related questions:
1. How do you graph the equation \( y^2 = x \)?
2. What is the domain and range of \( y^2 = x \)?
3. Why is \( y^2 = x \) not considered a function?
4. How can we rewrite \( y^2 = x \) to express \( y \) in terms of \( x \)?
5. What are the key features (vertex, focus, directrix) of the parabola represented by \( y^2 = x \)?

**Tip:** To determine if an equation represents a function, use the vertical line test: a vertical line should intersect the graph at most once.

y^2 = x, where x represents input values and y represents output values.

Explore the equation y^2 = x, where x represents input values and y represents output values. Learn why this relation is not considered a function using the vertical line test. Understand its graph, domain, and range, suitable for students in Grades 9-11.

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