Question

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

Short answer

The respective values of the function for \(x = 0,1,2,3,4\) are 1.4, 1.7, 2.0, 2.2, 2.4 when rounded to the nearest tenth

Step-by-step solution

Evaluation for x=0

Substitute \(x = 0\) into the function. We get \(y = \sqrt{0+2} = \sqrt{2}\). This rounds to 1.4 when rounded to the nearest tenth

Evaluation for x=1

Now substitute \(x = 1\). Therefore we get \(y = \sqrt{1+2} = \sqrt{3}\). This rounds to 1.7 when rounded to the nearest tenth

Evaluation for x=2

Now, with \(x = 2\), the function becomes \(y = \sqrt{2+2} = \sqrt{4}\). This equals 2.0 when rounded to the nearest tenth

Evaluation for x=3

With \(x = 3\), we get \(y = \sqrt{3+2} = \sqrt{5}\). This rounds to 2.2 when rounded to the nearest tenth

Evaluation for x=4

Finally, when \(x = 4\), the function becomes \(y = \sqrt{4+2} = \sqrt{6}\). This rounds to 2.4 when rounded to the nearest tenth