Question

use technology to find points and then graph the function $y = \sqrt{x + 1}$ following the instructions below. plot at least four points with integer coordinates that fit on the axes below. click a point to delete it. show plotting points

Explanation:

Step1: Identify domain of the function

The function is $y = \sqrt{x+1}$. The expression under the square root must be non-negative:
$x+1 \geq 0 \implies x \geq -1$

Step2: Choose integer x-values, solve for y

Pick $x=-1$:
$y = \sqrt{-1+1} = \sqrt{0} = 0$
Point: $(-1, 0)$

Pick $x=0$:
$y = \sqrt{0+1} = \sqrt{1} = 1$
Point: $(0, 1)$

Pick $x=3$:
$y = \sqrt{3+1} = \sqrt{4} = 2$
Point: $(3, 2)$

Pick $x=8$:
$y = \sqrt{8+1} = \sqrt{9} = 3$
Point: $(8, 3)$

Step3: Verify integer coordinates fit axes

All selected points have integer coordinates and fit within standard axis ranges.

Answer:

Four points to plot: $(-1, 0)$, $(0, 1)$, $(3, 2)$, $(8, 3)$
(The graph is a right-opening square root curve starting at $(-1, 0)$ and increasing slowly as $x$ increases.)