Question

1. what are the zeros of the following function?

2 and 3
2 and -3
3 only
-3, 2, and 3

Explanation:

Identify the definition of zeros

Using the Quadratic Function Definition knowledge point
The zeros of a function \(y = f(x)\) are the \(x\)-values where the graph intersects or touches the \(x\)-axis, which corresponds to \(f(x) = 0\).

Locate the x-intercepts on the graph

Observe the points where the parabola crosses the horizontal \(x\)-axis:

• One intersection point is on the negative \(x\)-axis at \(x = -3\).
• The other intersection point is on the positive \(x\)-axis at \(x = 2\).

Match with the given options

The zeros of the function shown in the graph are \(2\) and \(-3\).

Answer:

• 2 and 3
• 2 and -3 (Correct answer)
• 3 only
• -3, 2, and 3