Chapter 10.1, Problem 35E

To determine

To describe the error in graph.

Answer to Problem 35E

Domain = $[-1,\infty )$

Explanation of Solution

Given information: $y=\sqrt{x+1}$

Formula Used: Square root function cannot be negative.

Calculation:

As the domain of square root function is greater than or equal to zero i.e. cannot be negative.

So,

  $\sqrt{x+1}\ge 0$

Squaring both sides,

  $x+1\ge 0$

So, simplify

  $x\ge -1$

Hence,

Domain = $[-1,\infty )$

The domain of the function $y=\sqrt{x+1}$ is $[-1,\infty )$ but in the given graph the domain is $[0,\infty )$

  $\begin{array}{cccc}x& -1& 0& 1\\ y& 0& 1& 1.41\end{array}$