Question

Which graph represents y=3^ square root x

Answer 1

for anyone who needs it on edge now the answer is the last graph

see attachment

Answer 2

The function
`\(y = 3^(√(x))\)` exhibits slow, continuous growth for
`\(x \geq 0\)`, approaching but never reaching a horizontal asymptote at y = 1. The y-intercept is at (0, 1).

The given function is
`\(y = 3^(√(x))\)`, where x is the exponent of 3 raised to the power of the square root of x. Let's analyze the behavior of this function:

1. Domain: The function is defined for
`\(x \geq 0\)` since the square root of any non-negative number is real.

2. Vertical Asymptote: As x approaches negative infinity, the square root term approaches 0, and
`\(3^0 = 1\)`. Therefore, the function has a horizontal line at y = 1 as a vertical asymptote.

3. Growth: As x increases, the square root of x increases, and
`\(3^(√(x))\)` grows exponentially. However, the growth is slower than a standard exponential function due to the square root.

4. Y-Intercept: When x = 0, the function evaluates to
`\(3^(√(0)) = 3^0 = 1\)`, so the y-intercept is at (0, 1).

Given these characteristics, the graph should exhibit a slow but continuous growth, approaching but never reaching the horizontal line y = 1 as x decreases to negative infinity.

The probable question may be:

Explain the graph which represents y=3^ {square root x}.