can someone check my work for this question?

the question is to graph the function of square root of x plus 2 with the plus 2 not being in the square root

my x values were 0,1, 4, 9, and 16
my y values were 2, 3, 4, 5, and 6
the next part says to write the domain and range. for domain I had x> or equal to 0. for the range I had y> or equal to 2

thank you for checking my work!

I agree

your equation y = ?x + 2
looks like this

http://www.wolframalpha.com/input/?i=y+%3D+%E2%88%9Ax+%2B+2+for+for+x+from+0+to+16

Ignore the other parts on the page dealing with arc length.

To graph the function y = √(x + 2), you have correctly calculated the y-values for the given x-values.

For x = 0, the y-value is 2.
For x = 1, the y-value is 3.
For x = 4, the y-value is 4.
For x = 9, the y-value is 5.
For x = 16, the y-value is 6.

To plot these points on a graph, you would locate the x-values on the x-axis and the corresponding y-values on the y-axis. Connect the points with a smooth curve. The graph of the function should start at (0, 2) and rise slowly as the x-value increases.

Regarding the domain and range, your answers are correct.

Domain: x ≥ 0. This means that the function is defined for all x-values greater than or equal to 0.
Range: y ≥ 2. This means that the y-values of the function will be greater than or equal to 2.

Great job on your work! Keep practicing and exploring different types of functions to strengthen your understanding. If you have any more questions, feel free to ask!