Which quadrants and axes does $f (x) = 5 + \sqrt{x + 12}$ $f(x)=5+sqrt(x+12)$ pass through?

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Answer 1 · 2018-03-27T16:09:19

The domain of this function is clearly $x \geq - 12$ $x ≥ -12$ .

The range of the function is $y \geq 5$ $y ≥ 5$ .

Therefore, the function passes through the first and second quadrants and only over the y-axis.

We can confirm graphically:

graph{5 + sqrt(x +12) [-25.65, 25.65, -12.83, 12.83]}

Hopefully this helps!

Which quadrants and axes does f(x)=5+√x+12f(x)=5+sqrt(x+12) pass through?