Question

Which graph represents y= 3√x

Answer 1

Explanation:

y=-3x

Answer 2

The graph of
`\(y = 3√(x)\)` reveals a curved, upward-sloping line with a stretched vertical scale. As x increases, y grows at a slower pace, reflecting the influence of the square root function.

The graph of
`\(y = 3√(x)\)` depicts a square root function with a vertical stretch by a factor of 3.

As x increases, y grows at a slower rate due to the square root, and the multiplied coefficient amplifies the overall vertical scale. The graph is confined to the first quadrant, reflecting the non-negative constraint on the square root. It rises steadily, showcasing a continuous and increasing nature.

This mathematical relationship illustrates a curve with a distinct concave shape, characteristic of square root functions, as x governs the progression of y.