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

1 Answer
Noah G
Mar 27, 2018

The domain of this function is clearly #x ≥ -12#.

The range of the function is #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!

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