Question

Evaluate the function for \(x=0,1,2,3,\) and \(4 .\) Round your answer to the nearest tenth. $$ y=\frac{1}{2} \sqrt{x} $$

Short answer

For the given function, the values of \(y\) when \(x = 0, 1, 2, 3,\) and \(4\) are \(0.0, 0.5, 0.7, 0.9,\) and \(1.0\) respectively.

Step-by-step solution

Evaluate for \(x = 0\)

Substitute \(x = 0\) into the equation to get \(y = \frac{1}{2} \sqrt{0} = 0.0\)

Evaluate for \(x = 1\)

Substitute \(x = 1\) into the equation to get \(y = \frac{1}{2} \sqrt{1} = 0.5\)

Evaluate for \(x = 2\)

Substitute \(x = 2\) into the equation to get \(y = \frac{1}{2} \sqrt{2} = 0.7\) when rounded to the nearest tenth

Evaluate for \(x = 3\)

Substitute \(x = 3\) into the equation to get \(y = \frac{1}{2} \sqrt{3} = 0.9\) when rounded to the nearest tenth

Evaluate for \(x = 4\)

Substitute \(x = 4\) into the equation to get \(y = \frac{1}{2} \sqrt{4} = 1.0\)