Sqrt Minus One 931A2E

1. **State the problem:** We need to graph the function $$f(x) = \sqrt{x} - 1$$. 2. **Recall the formula and domain:** The square root function $$\sqrt{x}$$ is defined for $$x \geq 0$$. Subtracting 1 shifts the graph down by 1 unit. 3. **Find key points:** - When $$x=0$$, $$f(0) = \sqrt{0} - 1 = 0 - 1 = -1$$. - When $$x=1$$, $$f(1) = \sqrt{1} - 1 = 1 - 1 = 0$$. - When $$x=4$$, $$f(4) = \sqrt{4} - 1 = 2 - 1 = 1$$. 4. **Plot these points:** (0, -1), (1, 0), (4, 1). 5. **Shape of the graph:** The graph starts at (0, -1) and increases slowly, curving upward as $$x$$ increases. 6. **Domain and range:** - Domain: $$x \geq 0$$. - Range: $$y \geq -1$$. This completes the graphing of $$f(x) = \sqrt{x} - 1$$.