Question

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Explanation:

Identify the given graph

The graph shows an Exponential Function passing through several clear grid intersections.

Locate key coordinate points

By observing the grid, we find points on the curve:

• At \(x = 0\), \(y = 3\), giving the point \((0, 3)\).
• At \(x = 3\), \(y = 6\), giving the point \((3, 6)\).
• At \(x = 6\), \(y = 12\), giving the point \((6, 12)\).

Evaluate the given option

We test the visible option \((2, 0)\):

• A solution to a graphed function must lie directly on the curve.
• The point \((2, 0)\) lies on the x-axis, but the curve is well above the x-axis at \(x = 2\).
• Therefore, \((2, 0)\) is not a solution.

Determine the correct solution

Based on the curve's path:

• At \(x = 3\), the y-value is exactly \(6\).
• Thus, \((3, 6)\) is a solution to the function.

Answer:

• (A) (2,0)
• (B) (3,6) (Correct answer)