Question

How would I graph the function \[f(x)=\sqrt{x-1}-1\] ?
The directions say to start with the leftmost point and graph three additional ones. Help?

Answer 1

x = 1 is the smallest whole number you can plug in, so let's start there

Answer 2

\[f(x)=\sqrt{x-1}-1\]

\[f(1)=\sqrt{1-1}-1\]

\[f(1)=\sqrt{0}-1\]

\[f(1)=0-1\]

\[f(1)=-1\]

So the point (1, -1) is on the graph

Answer 3

Let's now plug in x = 2

\[f(x)=\sqrt{x-1}-1\]

\[f(2)=\sqrt{2-1}-1\]

\[f(2)=\sqrt{1}-1\]

\[f(2)=1-1\]

\[f(2)=0\]

So the point (2, 0) is on the graph

Answer 4

I'll let you do the other two points