Question

Постройте график функции y = корень x-2 укажите её область определения

Answer 1

ОДЗ:
$x\ \textgreater \ 2$

Answer 2

Graph of the Function y = √(x - 2) and its Domain

The function is given by y = √(x - 2). To plot the graph of this function, we can start by determining its domain. The domain of a square root function is the set of all real numbers for which the expression inside the square root is non-negative. In this case, the expression x - 2 must be greater than or equal to zero.

To find the domain, we solve the inequality x - 2 ≥ 0:

x - 2 ≥ 0

Adding 2 to both sides of the inequality, we get:

x ≥ 2

Therefore, the domain of the function y = √(x - 2) is all real numbers greater than or equal to 2.

Now, let's plot the graph of the function y = √(x - 2) using the given domain.


Please note that the graph is a curve that starts at the point (2, 0) and extends infinitely to the right.

I hope this helps! Let me know if you have any further questions.