Chapter 10.4, Problem 66AYU

To determine

To graph: The given function.

Answer to Problem 66AYU

Explanation of Solution

Given:

$f\left(x\right)=\sqrt{-1+x²}$

Calculation:

We plot the graph of $f\left(x\right)=\sqrt{-1+x²}$.

$x\text{-intercepts}$ are $\left(1,0\right)$ and $\left(-1,0\right)$.

This intercept is represented in the graph.

They are half an hyperbola of $x²-y²=1$ as shown below.

Let $y=\sqrt{-1+x²}$.

$y²=-1+x²$   $y\ge 0$

$x²-y²=1$   $y\ge 0$