Question

F(x) = \sqrt{5 - x} ​

Answer 1

на фото

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Answer 2

The function you provided is $f(x) = \sqrt{5 - x}$. It represents a square root function where the input value $x$ is subtracted from 5, and then the square root of the result is taken.

The domain of this function is limited by the requirement that the expression inside the square root must be non-negative. Therefore, $5 - x \geq 0$, which implies $x \leq 5$. So the domain of this function is $-\infty < x \leq 5$.

The range of the function depends on the values of $x$ in the domain. Since we are taking the square root of $5 - x$, the range will be all non-negative values. In other words, the range is $[0, +\infty)$.

The graph of this function starts at the point $(5, 0)$ on the x-axis and moves downwards as $x$ increases. The curve approaches the x-axis but never intersects it. It is important to note that the graph is only defined for $x$ values up to 5.

Here is a plot to visualize the function:

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